Mathematics
The horizontal distance between two towers is 150 m. The angle of depression of the top of one tower as observed from the top of the other tower, which is 120 m in height, is 30°. Find the height of the first tower.
Heights & Distances
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Answer
From figure,
FC = BD = 150 m.
In △AFC,
tan 30° =
From figure,
BF = AB - AF = 120 - 86.60 = 33.40 m
CD = BF = 33.40 meters.
Hence, height of first tower = 33.40 meters.
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