# If the height of a vertical pole is √3 times the length of its shadow on the ground then the angle of elevation of the sun at that time isA. 30°B. 45°C. 60°D. 75°

Let AB be the pole and BC be the shadow. Join A and C. We get a right-angled triangle right angled at B. The angle of elevation of the sun is ACB (= θ, say). We use the trigonometric ratio tan for the triangle taking AB as height and BC as the base. By the problem, AB = √3BC.

In ∆ABC,

or,

θ = 60°

since we know that tanθ is √3 whenever θ = 60°.

So, the correct option is (C).

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