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Question

A 6 m tall man finds that the angle of elevation of a 24 m high pillar and the angle of depression of its base are complementary angles. Find the distance of the man from the pillar.


A
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B
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C
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D
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Solution

The correct option is A

The conditions given in the question can be drawn as below.


tan θ=6xtan(90θ)=cotθ=18xSince,tanθ=1cotθx18=6xx2=108x=63 m
Therefore, the distance of the man from the pillar is 63 m


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