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An observer is 120 feet from the base of a television tower, which is 150 feet tall. find the angle of elevation of the top of the tower from the point where the observer is standing.
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An observer is 120 feet from the base of a television tower, which is 150 feet tall. find the angle of elevation of the top of the tower from the point where the observer is standing.

User Or Cohen
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1 Answer

4 votes
we know that
tan ∅=opposite side angle ∅/adjacent side angle ∅

in this problem
opposite side angle ∅=150 ft
adjacent side angle ∅=120 ft
∅=angle of elevation
so
tan ∅=150/120--------> 1.25
∅=arc tan(1.25)---------> ∅=51.34°

the answer is
51.34°
User Nikolay Kasyanov
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5.9k points
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