Receiving Helpdesk

what is the vertical distance between two points called

by Tiara Crist Published 3 years ago Updated 3 years ago

Full Answer

How do you find the exact distance between two points?

  • Note down the coordinates of the two given points in the coordinate plane as, A ( x1,y1 x 1, y 1) and B ( x2,y2 x 2, y 2 ).
  • We can apply the distance formula to find the distance between the two points, d = √ [ ( x2 x 2 − x1 x 1) 2 + ( y2 ...
  • Express the given answer in units.

What is the shortest distance possible between two points?

What is the formula to memorize speed?

  • Speed = distance / time.
  • Distance = speed x time.
  • Time = distance / speed.

How to find the vertical height between any two points?

  • you can use it held in your hand;
  • the height of the sighting line is the vertical distance from the ground to your eye level; and
  • the bubble of the spirit level must be centred while you take the reading.

How to calculate the direction between two points?

Formula to find Bearing, when two different points latitude, longitude is given:

  • X = 0.05967668696
  • Y = -0.00681261948
  • β = 96.51. This means, from Kansas City if we move in 96.51 ° bearing direction, we will reach St Louis. You can also check video explanation of bearing angle.

What is the vertical distance between two points?

Derivation of Formula for Distance Between Two Points Here, the vertical distance between the given points is |y2 y 2 − y1 y 1 |. The horizontal distance between the given points is |x2 x 2 − x1 x 1 |. Thus, the distance formula to find the distance between two points is proved.

What is distance between two points called?

The distance between two points is called the length of the line segment. Segments having the same length are called congruent segments. We can calculate the distance between two points by drawing a line using a ruler.

What is vertical distance called?

height: "the vertical distance of a level, a point or an object considered as a point, measured from a specific datum."

What do we call the vertical distance between each point and the line?

Draw a line that connects the point and intersects the line at a perpendicular angle. The vertical distance from the point to the line will be the difference of the 2 y-values. The distance can never be negative.

What is horizontal and vertical distance?

We refer to horizontal dis- tance as the distance along the ground surface and verti- cal distance as the distance along the direction of gravity . An example of horizontal distance is the distance from an observer to a building, and an example of vertical dis- tance is the height of the building.

What is horizontal distance?

Horizontal distance means the distance between two points measured at a zero percent slope.

What is slope distance?

Slope distance (h) is the length of slope from the bottom to the top of the slope and is larger than both the vertical and horizontal distance. Slope distance can be calculated when the vertical height (rise) and the horizontal distance (run) of a right angle are known.

What is perpendicular distance?

The shortest distance of a point from a plane is said to be along the line perpendicular to the plane or in other words, is the perpendicular distance of the point from the plane.

What is the Distance Between Two Points?

The distance between any two points is the length of the line segment joining the points. There is only one line passing through two points. So, the distance between two points can be calculated by finding the length of this line segment connecting the two points.

Distance Between Two Points Formula

The distance between two points using the given coordinates can be calculated by applying the distance formula. For any point given in the 2-D plane, we can apply the 2D distance formula or the Euclidean distance formula given as,

Derivation of Formula for Distance Between Two Points

To derive the formula to calculate the distance between two points in a two-dimensional plane, let us assume that there are two points with the coordinates given as, A ( x1,y1 x 1, y 1) B ( x2,y2 x 2, y 2)

How to Find Distance Between Two Points?

The distance between two points using the given coordinates can be calculated with the help of the following given steps:

Distance Between Two Points in Complex Plane

The distance between two points in a complex plane or two complex numbers z 1 1 = a + ib and z 2 2 = c + id in the complex plane is the distance between points (a, b) and (c, d), given as,

Examples on Distance Between Two Points

Become a problem-solving champ using logic, not rules. Learn the why behind math with our certified experts

FAQs on Distance Between Two Points

The distance between two points is defined as the length of the straight line connecting these points in the coordinate plane. This distance can never be negative, therefore we take the absolute value while finding the distance between two given points.

What is vertical position?

Vertical position or vertical location is a position along a vertical direction above or below a given vertical datum . Vertical distance or vertical separation is the distance between two vertical positions. Many vertical coordinates exist for expressing vertical position: depth, height, altitude, elevation, etc.

What does altitude mean?

altitude: "height where the chosen reference surface is mean sea level". The International Civil Aviation Organization (ICAO) offers similar definitions: altitude: "the vertical distance of a level, a point or an object considered as a point, measured from the mean sea level (MSL);".

image
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 1 2 3 4 5 6 7 8 9
8.3.21PHP Version2.34sRequest Duration2MBMemory UsageGET {post}Route
  • warninglog[15:27:20] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\QueryFormatter:...
  • warninglog[15:27:20] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\QueryFormatter:...
  • warninglog[15:27:20] LOG.warning: Callables of the form ["Swift_SmtpTransport", "Swift_Transport_EsmtpTranspor...
  • warninglog[15:27:20] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\SimpleFormatter...
  • warninglog[15:27:20] LOG.warning: Creation of dynamic property Barryvdh\Debugbar\DataFormatter\SimpleFormatter...
  • warninglog[15:27:20] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[15:27:20] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[15:27:20] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • warninglog[15:27:20] LOG.warning: json_decode(): Passing null to parameter #1 ($json) of type string is deprec...
  • Booting (16.89ms)
  • Application (2.32s)
  • 1 x Application (99.26%)
    2.32s
    1 x Booting (0.72%)
    16.89ms
    7 templates were rendered
    • themes.DevBlog.content.post (resources/views/themes/DevBlog/content/post.blade.php)34blade
      Params
      0
      post
      1
      postContent
      2
      author
      3
      updated_at
      4
      bing_rich_snippet_text
      5
      bing_rich_snippet_link
      6
      bing_related_keywords
      7
      google_related_keywords
      8
      bing_news_title
      9
      bing_news_description
      10
      bing_videos
      11
      bing_images
      12
      bing_search_result_title
      13
      bing_search_result_description
      14
      bing_search_result_url
      15
      bing_paa_questions
      16
      bing_paa_answers
      17
      bing_slider_faq_questions
      18
      bing_slider_faq_answers
      19
      bing_pop_faq_questions
      20
      bing_pop_faq_answers
      21
      bing_tab_faq_questions
      22
      bing_tab_faq_answers
      23
      google_faq_questions
      24
      google_faq_answers
      25
      google_rich_snippet
      26
      google_search_result
      27
      indexedArray
      28
      total_images
      29
      total_videos
      30
      settings
      31
      url_current
      32
      menus
      33
      sidebar
    • themes.DevBlog.layouts.master (resources/views/themes/DevBlog/layouts/master.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.head (resources/views/themes/DevBlog/panels/head.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.header (resources/views/themes/DevBlog/panels/header.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.navbar (resources/views/themes/DevBlog/panels/navbar.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.footer (resources/views/themes/DevBlog/panels/footer.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    • themes.DevBlog.panels.scripts (resources/views/themes/DevBlog/panels/scripts.blade.php)41blade
      Params
      0
      __env
      1
      app
      2
      errors
      3
      post
      4
      postContent
      5
      author
      6
      updated_at
      7
      bing_rich_snippet_text
      8
      bing_rich_snippet_link
      9
      bing_related_keywords
      10
      google_related_keywords
      11
      bing_news_title
      12
      bing_news_description
      13
      bing_videos
      14
      bing_images
      15
      bing_search_result_title
      16
      bing_search_result_description
      17
      bing_search_result_url
      18
      bing_paa_questions
      19
      bing_paa_answers
      20
      bing_slider_faq_questions
      21
      bing_slider_faq_answers
      22
      bing_pop_faq_questions
      23
      bing_pop_faq_answers
      24
      bing_tab_faq_questions
      25
      bing_tab_faq_answers
      26
      google_faq_questions
      27
      google_faq_answers
      28
      google_rich_snippet
      29
      google_search_result
      30
      indexedArray
      31
      total_images
      32
      total_videos
      33
      settings
      34
      url_current
      35
      menus
      36
      sidebar
      37
      i
      38
      __currentLoopData
      39
      loop
      40
      item
    uri
    GET {post}
    middleware
    web, checkdate
    as
    post.show
    controller
    App\Http\Controllers\Frontend\json_data\PostController@show
    namespace
    where
    file
    app/Http/Controllers/Frontend/json_data/PostController.php:18-166
    7 statements were executed2.29s
    • select * from `posts` where `published_at` <= '2025-06-20 15:27:20' and `slug` = 'what-is-the-vertical-distance-between-two-points-called' and `posts`.`deleted_at` is null limit 1
      2.46ms/app/Providers/RouteServiceProvider.php:54receivinghelpdeskask
      Metadata
      Bindings
      • 0. 2025-06-20 15:27:20
      • 1. what-is-the-vertical-distance-between-two-points-called
      Backtrace
      • 15. /app/Providers/RouteServiceProvider.php:54
      • 18. /vendor/laravel/framework/src/Illuminate/Routing/Router.php:842
      • 19. Route binding:39
      • 20. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
      • 21. /vendor/laravel/framework/src/Illuminate/Foundation/Http/Middleware/VerifyCsrfToken.php:78
    • select * from `json_post_contents` where `json_post_contents`.`post_id` = 187251 and `json_post_contents`.`post_id` is not null and `rewrite_id` = 0
      5.15msmiddleware::checkdate:30receivinghelpdeskask
      Metadata
      Bindings
      • 0. 187251
      • 1. 0
      Backtrace
      • 19. middleware::checkdate:30
      • 20. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
      • 21. /vendor/laravel/jetstream/src/Http/Middleware/ShareInertiaData.php:61
      • 22. /vendor/laravel/framework/src/Illuminate/Pipeline/Pipeline.php:167
      • 23. /vendor/laravel/framework/src/Illuminate/Routing/Middleware/SubstituteBindings.php:50
    • select * from `nova_menu_menus` where `slug` = 'header' limit 1
      640μs/vendor/outl1ne/nova-menu-builder/src/helpers.php:32receivinghelpdeskask
      Metadata
      Bindings
      • 0. header
      Backtrace
      • 15. /vendor/outl1ne/nova-menu-builder/src/helpers.php:32
      • 17. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 18. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
      • 19. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
      • 20. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
    • select * from `nova_menu_menu_items` where `nova_menu_menu_items`.`menu_id` = 1 and `nova_menu_menu_items`.`menu_id` is not null and `parent_id` is null order by `parent_id` asc, `order` asc, `name` asc
      510μs/vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35receivinghelpdeskask
      Metadata
      Bindings
      • 0. 1
      Backtrace
      • 19. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35
      • 20. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33
      • 22. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 23. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
      • 24. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
    • select * from `nova_menu_menu_items` where `nova_menu_menu_items`.`parent_id` in (1) order by `order` asc
      340μs/vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35receivinghelpdeskask
      Metadata
      Backtrace
      • 24. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35
      • 25. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33
      • 27. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 28. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
      • 29. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261
    • select `id`, `post_title`, `slug` from `posts` where `status` = 'publish' and `posts`.`deleted_at` is null order by RAND() limit 10
      2.28s/app/View/Composers/SidebarView.php:22receivinghelpdeskask
      Metadata
      Bindings
      • 0. publish
      Backtrace
      • 14. /app/View/Composers/SidebarView.php:22
      • 15. /app/View/Composers/SidebarView.php:12
      • 16. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
      • 17. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
      • 20. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177
    • select * from `fake_users` where `fake_users`.`id` = 454 limit 1
      900μsview::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15receivinghelpdeskask
      Metadata
      Bindings
      • 0. 454
      Backtrace
      • 21. view::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15
      • 23. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
      • 24. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 25. /vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
      • 26. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61
    App\Models\FakeUser
    1
    Outl1ne\MenuBuilder\Models\MenuItem
    1
    Outl1ne\MenuBuilder\Models\Menu
    1
    App\Models\JsonPostContent
    1
    App\Models\Post
    11
        _token
        RSXwFbevIKYpF0DULBX5cqWOr25zR9v58lQmdkIo
        _previous
        array:1 [ "url" => "https://receivinghelpdesk.com/ask/what-is-the-vertical-distance-between-two-po...
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /what-is-the-vertical-distance-between-two-points-called
        status_code
        200
        
        status_text
        OK
        format
        html
        content_type
        text/html; charset=UTF-8
        request_query
        []
        
        request_request
        []
        
        request_headers
        0 of 0
        array:24 [ "cf-ipcountry" => array:1 [ 0 => "US" ] "cf-connecting-ip" => array:1 [ 0 => "216.73.216.7" ] "cdn-loop" => array:1 [ 0 => "cloudflare; loops=1" ] "sec-fetch-site" => array:1 [ 0 => "none" ] "accept" => array:1 [ 0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" ] "user-agent" => array:1 [ 0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" ] "upgrade-insecure-requests" => array:1 [ 0 => "1" ] "sec-ch-ua-platform" => array:1 [ 0 => ""Windows"" ] "sec-ch-ua-mobile" => array:1 [ 0 => "?0" ] "sec-ch-ua" => array:1 [ 0 => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99"" ] "cache-control" => array:1 [ 0 => "no-cache" ] "pragma" => array:1 [ 0 => "no-cache" ] "sec-fetch-dest" => array:1 [ 0 => "document" ] "cf-ray" => array:1 [ 0 => "952a66c0aa7dc4e5-ORD" ] "accept-encoding" => array:1 [ 0 => "gzip, br" ] "priority" => array:1 [ 0 => "u=0, i" ] "sec-fetch-user" => array:1 [ 0 => "?1" ] "sec-fetch-mode" => array:1 [ 0 => "navigate" ] "cf-visitor" => array:1 [ 0 => "{"scheme":"https"}" ] "connection" => array:1 [ 0 => "close" ] "x-forwarded-proto" => array:1 [ 0 => "https" ] "x-forwarded-for" => array:1 [ 0 => "216.73.216.7, 172.69.6.100" ] "x-server-addr" => array:1 [ 0 => "154.12.239.204" ] "host" => array:1 [ 0 => "receivinghelpdesk.com" ] ]
        request_server
        0 of 0
        array:55 [ "USER" => "runcloud" "HOME" => "/home/runcloud" "SCRIPT_NAME" => "/ask/index.php" "REQUEST_URI" => "/ask/what-is-the-vertical-distance-between-two-points-called" "QUERY_STRING" => "" "REQUEST_METHOD" => "GET" "SERVER_PROTOCOL" => "HTTP/1.0" "GATEWAY_INTERFACE" => "CGI/1.1" "REDIRECT_URL" => "/ask/what-is-the-vertical-distance-between-two-points-called" "REMOTE_PORT" => "47888" "SCRIPT_FILENAME" => "/home/runcloud/webapps/ReceivingHelpDesk/ask/index.php" "SERVER_ADMIN" => "you@example.com" "CONTEXT_DOCUMENT_ROOT" => "/home/runcloud/webapps/ReceivingHelpDesk/" "CONTEXT_PREFIX" => "" "REQUEST_SCHEME" => "http" "DOCUMENT_ROOT" => "/home/runcloud/webapps/ReceivingHelpDesk/" "REMOTE_ADDR" => "172.69.6.100" "SERVER_PORT" => "80" "SERVER_ADDR" => "127.0.0.1" "SERVER_NAME" => "receivinghelpdesk.com" "SERVER_SOFTWARE" => "Apache/2.4.63 (Unix) OpenSSL/1.1.1f" "SERVER_SIGNATURE" => "" "LD_LIBRARY_PATH" => "/RunCloud/Packages/apache2-rc/lib" "PATH" => "/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin" "HTTP_CF_IPCOUNTRY" => "US" "HTTP_CF_CONNECTING_IP" => "216.73.216.7" "HTTP_CDN_LOOP" => "cloudflare; loops=1" "HTTP_SEC_FETCH_SITE" => "none" "HTTP_ACCEPT" => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" "HTTP_USER_AGENT" => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" "HTTP_UPGRADE_INSECURE_REQUESTS" => "1" "HTTP_SEC_CH_UA_PLATFORM" => ""Windows"" "HTTP_SEC_CH_UA_MOBILE" => "?0" "HTTP_SEC_CH_UA" => ""Chromium";v="130", "HeadlessChrome";v="130", "Not?A_Brand";v="99"" "HTTP_CACHE_CONTROL" => "no-cache" "HTTP_PRAGMA" => "no-cache" "HTTP_SEC_FETCH_DEST" => "document" "HTTP_CF_RAY" => "952a66c0aa7dc4e5-ORD" "HTTP_ACCEPT_ENCODING" => "gzip, br" "HTTP_PRIORITY" => "u=0, i" "HTTP_SEC_FETCH_USER" => "?1" "HTTP_SEC_FETCH_MODE" => "navigate" "HTTP_CF_VISITOR" => "{"scheme":"https"}" "HTTP_CONNECTION" => "close" "HTTP_X_FORWARDED_PROTO" => "https" "HTTP_X_FORWARDED_FOR" => "216.73.216.7, 172.69.6.100" "HTTP_X_SERVER_ADDR" => "154.12.239.204" "HTTP_HOST" => "receivinghelpdesk.com" "HTTPS" => "on" "REDIRECT_STATUS" => "200" "REDIRECT_HTTPS" => "on" "FCGI_ROLE" => "RESPONDER" "PHP_SELF" => "/ask/index.php" "REQUEST_TIME_FLOAT" => 1750413440.2041 "REQUEST_TIME" => 1750413440 ]
        request_cookies
        []
        
        response_headers
        0 of 0
        array:7 [ "content-type" => array:1 [ 0 => "text/html; charset=UTF-8" ] "cache-control" => array:1 [ 0 => "private, must-revalidate" ] "date" => array:1 [ 0 => "Fri, 20 Jun 2025 09:57:20 GMT" ] "pragma" => array:1 [ 0 => "no-cache" ] "expires" => array:1 [ 0 => -1 ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IkZsc2U0VXgxRzJPc0dPNFpZTmlhMnc9PSIsInZhbHVlIjoid3BmbE81SjY0L0JYYlVCOHF0NUNzSFBJSjIyZHJXK0tIK2FQVUtoNkptQi9PRG1sbk1uRzA2RkNSTXdBMHNGY2MzVFg0YzcrekF1S1hVTUkwNGRaTVhhUXJ6K2tuMEE0cXF2OE1zSEs5MlhzR3F3ZEZkVmtVR2gzVHNhRDJlNlEiLCJtYWMiOiIxODBjZTEyYjUzNTJjOTJiNmRjYzI2Nzg2M2IyMmY0NTkyYTlkM2I1OWE5OGQ5ZjZmMzUxZDJlYzg3YmUzNjA2IiwidGFnIjoiIn0%3D; expires=Fri, 20-Jun-2025 11:57:22 GMT; Max-Age=7200; path=/; samesite=laxXSRF-TOKEN=eyJpdiI6IkZsc2U0VXgxRzJPc0dPNFpZTmlhMnc9PSIsInZhbHVlIjoid3BmbE81SjY0L0JYYlVCOHF0NUNzSFBJSjIyZHJXK0tIK2FQVUtoNkptQi9PRG1sbk1uRzA2RkNSTXdBMHNGY2MzVFg0Y" 1 => "askhelpdesk_session=eyJpdiI6ImFleGYzblYwa2ZkR2gzZ1NobjRWSFE9PSIsInZhbHVlIjoib2xjOXVtQVozTjZTazdtVEdTdnE2cFpndnNxaVdFaXRWaVJFZUJFRG9mQmxHTHU5K0VXZ1U2QXpXeWVjRmFsajhCVURGaDd3MklZaE5DVVExcllRd0puTDQ4TVBVL25Mak5tZHp3akxWd2xZTGJiV3R3emJqMEJPbytTV2NzQ3QiLCJtYWMiOiI5ZTQ3YzQzMDFlZTE5ZWZkMmFjYWQzZTNiNmY5ZDU1MmFlMGM2NDVmMGM0YzYwMzQyNjI0ODgyYjk4Zjg5M2MxIiwidGFnIjoiIn0%3D; expires=Fri, 20-Jun-2025 11:57:22 GMT; Max-Age=7200; path=/; httponly; samesite=laxaskhelpdesk_session=eyJpdiI6ImFleGYzblYwa2ZkR2gzZ1NobjRWSFE9PSIsInZhbHVlIjoib2xjOXVtQVozTjZTazdtVEdTdnE2cFpndnNxaVdFaXRWaVJFZUJFRG9mQmxHTHU5K0VXZ1U2QXpXeWVjRmFs" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IkZsc2U0VXgxRzJPc0dPNFpZTmlhMnc9PSIsInZhbHVlIjoid3BmbE81SjY0L0JYYlVCOHF0NUNzSFBJSjIyZHJXK0tIK2FQVUtoNkptQi9PRG1sbk1uRzA2RkNSTXdBMHNGY2MzVFg0YzcrekF1S1hVTUkwNGRaTVhhUXJ6K2tuMEE0cXF2OE1zSEs5MlhzR3F3ZEZkVmtVR2gzVHNhRDJlNlEiLCJtYWMiOiIxODBjZTEyYjUzNTJjOTJiNmRjYzI2Nzg2M2IyMmY0NTkyYTlkM2I1OWE5OGQ5ZjZmMzUxZDJlYzg3YmUzNjA2IiwidGFnIjoiIn0%3D; expires=Fri, 20-Jun-2025 11:57:22 GMT; path=/XSRF-TOKEN=eyJpdiI6IkZsc2U0VXgxRzJPc0dPNFpZTmlhMnc9PSIsInZhbHVlIjoid3BmbE81SjY0L0JYYlVCOHF0NUNzSFBJSjIyZHJXK0tIK2FQVUtoNkptQi9PRG1sbk1uRzA2RkNSTXdBMHNGY2MzVFg0Y" 1 => "askhelpdesk_session=eyJpdiI6ImFleGYzblYwa2ZkR2gzZ1NobjRWSFE9PSIsInZhbHVlIjoib2xjOXVtQVozTjZTazdtVEdTdnE2cFpndnNxaVdFaXRWaVJFZUJFRG9mQmxHTHU5K0VXZ1U2QXpXeWVjRmFsajhCVURGaDd3MklZaE5DVVExcllRd0puTDQ4TVBVL25Mak5tZHp3akxWd2xZTGJiV3R3emJqMEJPbytTV2NzQ3QiLCJtYWMiOiI5ZTQ3YzQzMDFlZTE5ZWZkMmFjYWQzZTNiNmY5ZDU1MmFlMGM2NDVmMGM0YzYwMzQyNjI0ODgyYjk4Zjg5M2MxIiwidGFnIjoiIn0%3D; expires=Fri, 20-Jun-2025 11:57:22 GMT; path=/; httponlyaskhelpdesk_session=eyJpdiI6ImFleGYzblYwa2ZkR2gzZ1NobjRWSFE9PSIsInZhbHVlIjoib2xjOXVtQVozTjZTazdtVEdTdnE2cFpndnNxaVdFaXRWaVJFZUJFRG9mQmxHTHU5K0VXZ1U2QXpXeWVjRmFs" ] ]
        session_attributes
        0 of 0
        array:4 [ "_token" => "RSXwFbevIKYpF0DULBX5cqWOr25zR9v58lQmdkIo" "_previous" => array:1 [ "url" => "https://receivinghelpdesk.com/ask/what-is-the-vertical-distance-between-two-points-called" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]