Question

An engineer stands 30 ft. from a building and notes a 55 degree angle of elevation to the top of the building. How high is the building? Round your answer to 1 decimal place.

Answer 1

Answer:  42.8 feet

Work Shown:

h = height of the building

h is opposite the reference angle (55)

the adjacent side is 30 feet

tan(angle) = opposite/adjacent

tan(55) = h/30

h = 30*tan(55)

h = 42.84444 which is approximate

h = 42.8 feet