Question

A person in an apartment

building sights the top and bottom of an office
building 500 ft. away. The angle of elevation
for the top of the office building is 23° and the
angle of depression for the base of the building
is 50º. How tall is the office building?
​

Answer 1

Explanation:

tan23=h1/500

h1=500tan23

tan50=h2/500

h2=500tan50

The height of the building is h1+h2 so

H=500(tan23+tan50)ft (exact)

H=808.1 ft (rounded to nearest tenth of a foot)