Question

If the length of the shadow of a vertical pole is √3 times the height of the pole, find the angle of elevation of the sun.​

Answer 1

Answer :-

• The angle of elevation of the sun is 30°.

Step-by-step explanation:

To Find :-

• The angle of elevation of the sun.

Solution:

Given that,

• The length of the shadow of a vertical pole is √3 times the height of the pole.

Assumption:

Let us assume the height of the tower as ( x ) units,

∴ The length of it's shadow = ( √3 x ) units,

Now, if θ is the angle of elevation of the sun, then,

⇒ tan θ = x ÷ √3 x

⇒ tan θ = 1 ÷ √3

⇒ tan θ = tan 30°

⇒ θ = 30°

Hence,

• The angle of elevation of the sun is 30°.