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Question

What is the angle of elevation of a light source when the length of the shadow of a flagpost is equal to its height?

A
45
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B
30
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C
60
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D
90
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Solution

The correct option is A 45


Let AB be the height of the flagpost and BC be the length of its shadow.
AB=BC (given)
Let, the angle of elevation, ACB=θ

Now, in ACB
tanθ=ABBC

tanθ=ABAB

tanθ=1

θ=45

Hence, the angle of elevation is 45.

897294_507154_ans_4c0765e5cde2433593e6f34ea3d33cf4.PNG

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