Q7 of 107 Page 12

The tops of two towers of height x and y, standing on level ground, subtend angles of 30° and 60° respectively at the centre of the line joining their feet, then find x: y.


In ΔABE


tan 30° = x/a


⇒ x = a tan 30°


Now, in Δ ECD


tan 60° = y/a


⇒ y = a tan 60°




⇒ x :y = 1:3


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