If the height of a vertical pole is equal to the length of its shadow on the ground, the angle of elevation of the sun isA. 0°B. 30°C. 45°D. 60°

In the figure let AB be the pole and BC is its shadow. Join A and C. We get a right-angled triangle ∆ABC. Angle of elevation of the sun is ACB. Given that, AB = BC. We use trigonometric ratio tan taking AB as height and BC as base to find the angle BCA.

In ∆ABC,

or,

since we know that tanθ is 1 whenever θ = 45°.

So, the correct option is (C).

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