You want to determine the height of the screen at a drive-in movie theater. You use a cardboard square to line up the top and bottom of the screen structure. The vertical distance from the ground to your eye is 5.7 feet and the horizontal distance from you to the screen is 11 ft. The bottom of the screen is 6 feet from the ground. Approximate the height of the screen to the nearest tenth.



The height of the screen is about_______ feet

Respuesta :

The height of the screen is 1/2 tan^(theta) ( 1+ 22cot theta) ft, cot (theta) >1/22.


Let x = the height of the screen

Delta 
ABC sine rule

x/sin (theta) = C/sinC

 

Please see attached file for complete solution of the problem.
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