Two poles of equal heights are standing opposite each other an 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 30º, respectively. Find the height of poles and the distance of the point from the poles.

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Solution

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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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 $60^{\circ}$ and $30^{\circ}$ , respectively. Find the height of the poles and the distances of the point from the poles.

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Two poles of equal heights are standing opposite each other an 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 30º, respectively. Find the height of poles and the distance of the point from the poles.

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.

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.