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Question

Two posts are 20 metre apart and the height of one post is double that of the other. From the mid-point of the line segment joining their feet, an observer finds that the angular elevation of their tops are complementary. Then the height of the shorter post (in metre) is

A
52
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B
5
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C
203
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D
10
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Solution

The correct option is A 52

Given α+β=π2
tanα=2h10tanβ=h10tan(π2α)=h10cotα=h10=102h2h2=100h=52 m

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