Question

A person at ground level measures the angle of elevation to the top of a building to be 74°. If at this point the person is 34 feet away from the base of the building, then how tall is the building?

Please round to the tenths place.
Please show work/steps and provide units with your answer.

Answer 1

Start by drawing a diagram.
Mark a line going from the base of the building to the person 34 feet.
Draw another line from the person to the top of the building. Label the angle between the two lines as 74o

Tan(74) = o / a
Tan(74) = o/34
o = 34*Tan (74)
o = 34 * 3.49
o = 118.6

The building is 118.6 feet tall.