Exams › SSC CGL (Prelims) › General

A tower casts a shadow of 15 metres on the ground. If the height of the tower is $15\sqrt{3}$ metres, find the angle of elevation of the sun.

1. 30°
2. 45°
3. 60°
4. 75°

Correct answer: 60°

Solution

In the right triangle formed by the tower and its shadow, $\tan\theta = \frac{\text{height}}{\text{shadow}} = \frac{15\sqrt{3}}{15} = \sqrt{3}$. Since $\tan 60^\circ = \sqrt{3}$, the angle of elevation is $60^\circ$.

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