Q. 7

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

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.


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