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Question

The angle of elevation of the Sun if the shadow of a 7 m long pole is 73 m, is

A
60
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B
30
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C
45
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D
15
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Solution

The correct option is B 30
Let AB be the pole and BC be its shadow. Let the angle of elevation of the Sun be α.
Then, BCA=α, and ABC=90.
In the right-angled Δ ABC,
tan α=ABBC
tan α=773 (Because AB=7 m and BC=73m)
tan α=13=tan 30
α=30
Hence, the correct answer is option (2).

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