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Question

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

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Solution

Let the height of the poles be h
Then AB=ED=h
BD=80m [given]

Let the given point be C such that BC=x and CD=80x

In ABC,

tan30=ABBC

13=hx

x=3h

In ECD,

tan600=EDCD

3=h80x

h=(80x)3


Put the value x=3h

we get h=(803h)3

h=8033h

4h=803

h=203

Then, height of poles h=203m

556639_494281_ans_965475082ac149a686a0eabe22eb9d7b.png

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