asked 186k views
4 votes
An aerial photograph is taken of a building. The photograph is made when the angle of elevation of the sun is 26 degrees. The shadow is determined to be 50 feet long. How tall is the building?

asked
User Jbpros
by
8.3k points

1 Answer

3 votes

Answer:

37.3 ft

Explanation:

SOH CAH TOA= Tan = Opposite/Adjacent

the side adjacent to the angle is the 80 ft shadow, and the opposite side is the height of the building.

tan(25°) = height/(80 ft)

(80 ft)·tan(25°) = height ≈ 37.3 ft

answered
User Damian Walczak
by
7.9k points
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