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° and 30°, respectively. Find the height of the poles and the distances of the point from the poles

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° and 30°, respectively. Find the height of the poles and the distances of the point from the poles

Let us take BD = 80 m,

∠ACB = 30°

And,

∠ ECD = 60°;

AB= ED = ?

In Δ ACB

In Δ EDC:

We know that AB = ED

Hence, from (i) and (ii),

Now, using the value of BC in (i),

AB = 20

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