If the length of the shadow of a tower is increasing then the angle of elevation of the sun is also increasing.

Question

Philoid · Accepted Answer

False

Let us understand this by an example - A tower 2√ 3 m high casts a shadow 2 m long on the ground, then the sun’s elevation is 60°

In ACB,

()

⇒ tan θ = √ 3 = tan 60°

_∴ _{θ = 60°}

Now, if the same height of tower casts a shadow 4m more than that from preceding length, then the Sun’s elevation becomes 30^°

In APB,

⇒

_∴ _{θ = 30°}

Hence, we can conclude that as the length of the shadow of the tower increases, the angle of elevation of the sun decreases. And the above statement is false.