Question

A man 1.5 m tall is 22.5 m away from a tower 24 m high. Determine the angle of elevation of the top of the tower from the eye of the observer.

A 60° Correct Answer Incorrect Answer
B 30° Correct Answer Incorrect Answer
C 45° Correct Answer Incorrect Answer
D 90° Correct Answer Incorrect Answer

Solution

In △ CDE, tan  θ = CD/CE = (BD - BC)/CE  = (24 - 1.5)/ 22.5 = 22.5/22.5 tan  θ = 1 = tan 45 °   θ =  45 °

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