Question

Two buildings are 200 feet apart. The height of the taller building is 50 ft. The angle of depression from the top of the taller building to the top of the shorter building is 8°. What equation below will correctly determine the height (h) of the shorter building?

Answer 1

tan 8 degrees = x / 200
200 times tan 8 = x
28.10816694 = x
28 feet
x is the "missing" part of the shorter building
so now you take 50 feet and subtract it by 28 feet and you will have the height of the shorter building

50 - 28 = 22

the shorter building is 22 ft