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Your family wants to buy an awning for a window that will be long enough to keep the sun out when it is at its highest point in the sky. The awning is attached to the wall at the top of the window and extends horizontally. The height of the window is 2.80m. the angle of elevation of the sun at this point is 70 degrees. Find how long the awning should be. Write your answer correct to 2 d.p

 Jul 16, 2019

Best Answer 

 #1
avatar+19797 
+3

The awning and the window form a right angle.....

    the sun rays from the end of the awning to the bottom of the window form the hypotenuse of a right triangle....

         window leg of the triangle is 2.8m

            awning leg of the triangle = ?

               angle between window leg and sun ray is 20 degrees (90 -70)

 

Tan 20 = opp / adj  = ? / 2.8

 2.8 *tan 20 = ?

tan(20)*2.8 =~~ 1.02 m    (corrected.....the first answer I posted was using radians instead of degrees)

 Jul 16, 2019
edited by Guest  Jul 16, 2019
edited by ElectricPavlov  Jul 16, 2019
 #1
avatar+19797 
+3
Best Answer

The awning and the window form a right angle.....

    the sun rays from the end of the awning to the bottom of the window form the hypotenuse of a right triangle....

         window leg of the triangle is 2.8m

            awning leg of the triangle = ?

               angle between window leg and sun ray is 20 degrees (90 -70)

 

Tan 20 = opp / adj  = ? / 2.8

 2.8 *tan 20 = ?

tan(20)*2.8 =~~ 1.02 m    (corrected.....the first answer I posted was using radians instead of degrees)

ElectricPavlov Jul 16, 2019
edited by Guest  Jul 16, 2019
edited by ElectricPavlov  Jul 16, 2019

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