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21 votes
21 votes
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.

User Darshan Mehta
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2.9k points

1 Answer

14 votes
14 votes

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

User Tim Gilbert
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2.7k points