Question

If a pole 12 m high casts a shadow `4sqrt(3)` m long on the ground then the sun’s elevation is ______.

पर्याय

• 60°

• 45°

• 30°

• 90°

Answer 1

If a pole 12 m high casts a shadow `4sqrt(3)` m long on the ground then the sun’s elevation is 60°.

Explanation:

Let AB be the pole and AC be its shadow.

AB = 12 m and `AC = 4sqrt(3)  m`.

Let ∠ACB = θ.

Then, `tan θ = (AB)/(AC) = 12/(4sqrt(3))`

⇒ `tan θ = 12/(4sqrt(3)) xx sqrt(3)/sqrt(3)`

⇒ `tan θ = sqrt(3)`

⇒ tan θ = tan 60°

⇒ θ = 60°