Q. 125.0( 5 Votes )

If the height of a tower and the distance of the point of observation from its foot, both are increased by 10%, then the angle of elevation of its top remains unchanged.

Answer :

True

Let height of the tower be h and distance of the point from its foot is x.


Let angle of elevation be θ1



In


…eq. 1


Now, when both(height and distance) are increased by we get


New height = h+10%of h




New distance = x+10% of x





In ∆PQR,




From eq.1 and eq.2, we get θ1 = θ2


Hence, it is true.


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