SOLUTION: Frank stands 400 feet from the base from the Statue of Liberty. If the Statue of Liberty is 306 feet tall, what is the angle of elevation from Frank (5.5 feet) to the top of the st

Question 775580: Frank stands 400 feet from the base from the Statue of Liberty. If the Statue of Liberty is 306 feet tall, what is the angle of elevation from Frank (5.5 feet) to the top of the statue�s torch? Round the answer to the nearest tenth.
a. 36.9
b. 37.4
c. 52.6
d. 53.1
Answer by tanjo3(60) (Show Source): You can put this solution on YOUR website!
Let the angle of elevation be θ.

We have a right angled triangle with an opposite of 300.5 ft. (306 - 5.5) and an adjacent of 400 ft. Recalling SOH CAH TOA, tanθ = O/A.
tan(θ) = 300.5/400.
θ = tan^-1(300.5/400).
θ = 36.9�.
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