Question

The lengths of a vertical rod and its shadow are in the ratio `1 : sqrt(3)`. The angle of elevation of the sun is ______.

पर्याय

• 30°

• 45°

• 60°

• 90°

Answer 1

The lengths of a vertical rod and its shadow are in the ratio `1 : sqrt(3)`. The angle of elevation of the sun is 30°.

Explanation:

Let AB be the rod of length x metres and let AC be its shadow of length `(sqrt(3)x)` m.

Let ∠ACB = θ.

Then, `(AB)/(AC) = tan θ`

⇒ `tan θ = x/(sqrt(3)x) = 1/sqrt(3)`

⇒ tan θ = tan 30°

⇒ θ = 30°