Question

In the given figure, a tower AB is 20 m high and BC, its shadow on the ground is `20sqrt(3)` m long. The sun's altitude is ______.

विकल्प

• 30°

• 45°

• 60°

• none of these

Answer 1

In the given figure, a tower AB is 20 m high and BC, its shadow on the ground is `20sqrt(3)` m long. The sun's altitude is 30°.

Explanation:

Let AB = m be the tower and `BC = 20sqrt(3)` be the length of its shadow.

Let ∠ACB = θ.

Then, `tan θ = (AB)/(AC)`

= `20/(20sqrt(3))`

= `1/sqrt(3)`

= tan 30°

∴ θ = 30°