Question 10:
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.
Answer:
Let AB and CD be the poles and O is the point from where the elevation angles are measured.
In ΔABO,
Since the poles are of equal heights,
CD = AB
DO = BD − BO = (80 − 20) m = 60 m
Therefore, the height of poles is 20√3 and the point is 20 m and 60 m far from these poles.
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