The angle of elevation of the Sun if the shadow of a 7 m long pole is 7√3 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 B30∘ 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 ΔABC, tanα=ABBC ⇒tanα=77√3(BecauseAB=7mandBC=7√3m) ⇒tanα=1√3=tan30∘ ⇒α=30∘
Hence, the correct answer is option (2).