Question

Scott is sitting in a movie theater, 21 meters from the screen. The angle of elevation from his line of sight to the top of the screen is 17 degrees , and the angle of depression from his line of sight to the bottom of the screen is 38 degrees . Find the height of the entire screen.

Answer 1

Answer:

23 m

Step-by-step explanation:

The computation of the height of the entire screen is shown below;

= a + b

where

a = 21 × tan 17 degrees

= 21 × 0.305

= 6.4 m

And

b = 21 × tan 38 degree

= 21 × 0.781

= 16.4 m

So, the height of the entire screen is

= 6.4 m + 16.4 m

= 22.8 m

= 23 m