Question

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 is ______.

विकल्प

• 0°

• 30°

• 45°

• 60°

Answer 1

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 is 45°.

Explanation:

Let AB be the pole and AC be its shadow such that AB = AC.

Let ∠ACB = θ.

Then, `tan θ = (AB)/(AC) = 1`

⇒ tan θ = tan 45°

⇒ θ = 45°