Two poles of equal heights are standing opposite each other on either side of the road, which is 80 m wide. From a point between them on the road, the angles of elevation of the top of the poles are 60 digree and 30 digree, respectively. Find the height of the poles and the distance of the point from the poles.

HELLO !

Let AB and CD be the poles and O is the point from where the elevation angles are measured.

In ΔABO,

In ΔCDO,

Since the poles are of equal heights,

CD = AB

DO = BD − BO = (80 − 20) m = 60 m

Therefore, the height of poles isand the point is 20 m and 60 m far from these poles.

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