Deprecated: Methods with the same name as their class will not be constructors in a future version of PHP; plgContentJComments has a deprecated constructor in /var/www/astarmathsandphysics/plugins/content/jcomments/jcomments.php on line 25 Call Stack: 0.0001 361184 1. {main}() /var/www/astarmathsandphysics/index.php:0 0.0513 1211288 2. Joomla\CMS\Application\SiteApplication->execute() /var/www/astarmathsandphysics/index.php:49 0.0513 1211288 3. Joomla\CMS\Application\SiteApplication->doExecute() /var/www/astarmathsandphysics/libraries/src/Application/CMSApplication.php:267 0.1221 4131840 4. Joomla\CMS\Application\SiteApplication->dispatch() /var/www/astarmathsandphysics/libraries/src/Application/SiteApplication.php:233 0.1235 4159424 5. Joomla\CMS\Component\ComponentHelper::renderComponent() /var/www/astarmathsandphysics/libraries/src/Application/SiteApplication.php:194 0.1242 4177136 6. Joomla\CMS\Component\ComponentHelper::executeComponent() /var/www/astarmathsandphysics/libraries/src/Component/ComponentHelper.php:356 0.1244 4207656 7. require_once('/var/www/astarmathsandphysics/components/com_content/content.php') /var/www/astarmathsandphysics/libraries/src/Component/ComponentHelper.php:381 0.1254 4230376 8. ContentController->execute() /var/www/astarmathsandphysics/components/com_content/content.php:42 0.1254 4230376 9. ContentController->display() /var/www/astarmathsandphysics/libraries/src/MVC/Controller/BaseController.php:710 0.1763 4899984 10. ContentController->display() /var/www/astarmathsandphysics/components/com_content/controller.php:113 0.1798 5092136 11. Joomla\CMS\Cache\Controller\ViewController->get() /var/www/astarmathsandphysics/libraries/src/MVC/Controller/BaseController.php:663 0.1803 5113064 12. ContentViewArticle->display() /var/www/astarmathsandphysics/libraries/src/Cache/Controller/ViewController.php:102 0.1914 5322368 13. Joomla\CMS\Plugin\PluginHelper::importPlugin() /var/www/astarmathsandphysics/components/com_content/views/article/view.html.php:189 0.1914 5322624 14. Joomla\CMS\Plugin\PluginHelper::import() /var/www/astarmathsandphysics/libraries/src/Plugin/PluginHelper.php:182 Deprecated: Methods with the same name as their class will not be constructors in a future version of PHP; JCommentsACL has a deprecated constructor in /var/www/astarmathsandphysics/components/com_jcomments/classes/acl.php on line 17 Call Stack: 0.0001 361184 1. {main}() /var/www/astarmathsandphysics/index.php:0 0.0513 1211288 2. Joomla\CMS\Application\SiteApplication->execute() /var/www/astarmathsandphysics/index.php:49 0.0513 1211288 3. Joomla\CMS\Application\SiteApplication->doExecute() /var/www/astarmathsandphysics/libraries/src/Application/CMSApplication.php:267 0.1221 4131840 4. Joomla\CMS\Application\SiteApplication->dispatch() /var/www/astarmathsandphysics/libraries/src/Application/SiteApplication.php:233 0.1235 4159424 5. Joomla\CMS\Component\ComponentHelper::renderComponent() /var/www/astarmathsandphysics/libraries/src/Application/SiteApplication.php:194 0.1242 4177136 6. Joomla\CMS\Component\ComponentHelper::executeComponent() /var/www/astarmathsandphysics/libraries/src/Component/ComponentHelper.php:356 0.1244 4207656 7. require_once('/var/www/astarmathsandphysics/components/com_content/content.php') /var/www/astarmathsandphysics/libraries/src/Component/ComponentHelper.php:381 0.1254 4230376 8. ContentController->execute() /var/www/astarmathsandphysics/components/com_content/content.php:42 0.1254 4230376 9. ContentController->display() /var/www/astarmathsandphysics/libraries/src/MVC/Controller/BaseController.php:710 0.1763 4899984 10. ContentController->display() /var/www/astarmathsandphysics/components/com_content/controller.php:113 0.1798 5092136 11. Joomla\CMS\Cache\Controller\ViewController->get() /var/www/astarmathsandphysics/libraries/src/MVC/Controller/BaseController.php:663 0.1803 5113064 12. ContentViewArticle->display() /var/www/astarmathsandphysics/libraries/src/Cache/Controller/ViewController.php:102 0.3250 13740120 13. JEventDispatcher->trigger() /var/www/astarmathsandphysics/components/com_content/views/article/view.html.php:199 0.3253 13740520 14. plgContentJComments->update() /var/www/astarmathsandphysics/libraries/joomla/event/dispatcher.php:160 0.3253 13740520 15. plgContentJComments->onContentAfterDisplay() /var/www/astarmathsandphysics/libraries/joomla/event/event.php:70 0.3255 13748768 16. plgContentJComments->onAfterDisplayContent() /var/www/astarmathsandphysics/plugins/content/jcomments/jcomments.php:339 0.3257 13750504 17. JComments::show() /var/www/astarmathsandphysics/plugins/content/jcomments/jcomments.php:282 0.3263 13783552 18. JCommentsFactory::getACL() /var/www/astarmathsandphysics/components/com_jcomments/jcomments.php:188 0.3263 13783952 19. spl_autoload_call() /var/www/astarmathsandphysics/components/com_jcomments/classes/factory.php:274 0.3264 13784032 20. JLoader::load() /var/www/astarmathsandphysics/components/com_jcomments/classes/factory.php:274

Navigation 1

Plane fly, and the wind blows. When setting the planes course the pilot must take account of the speed and direction of the wind.
Suppose a plane can fly at 650 km/h in still air. The wind is blowing at 80 km/h on a bearing of 0110 degrees. The pilot wants to flu North. He has to fly into the wind slightly as shown.

From the SINE RULE
\[\frac{20}{sin C} = \frac{650}{sin 110} \rightarrow sin C =\frac{20 \times sin 110}{650} = 0.02891 \rightarrow C = 1.657\]
  degree.
Then  
\[A=180-110-1.6576=68.343\]
  degrees.
Now use the Cosine Rule  
\[a^2 =b^2 +c^2-2bc cos A\]
  to get BC.

\[a^2 = 20^2 + 650^2 -2 \times 20 \times 650 cos 68.343 =423306 \rightarrow a=642.89\]

The pilot must steer into the wind at an angle 1,656 degrees Eat of North, and the plane will travel over the Earths surface at a speed of 642.86 km/h.

Add comment

Security code
Refresh