Applications of Trigonometry Heights and Distances Chapter 9 Exercise 9.1 Question 10
10. 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
and
, respectively. Find the height of the poles and the distances of the point from the poles.
Solution:
It is given that poles (AB and ED) are of equal height.
It is also given that BD = 80 m
Let CD = x m
And, let BC = (80 – x) m
In
, we have
m (1)
In
, we have
(2)
We have ED = AB because both the poles are of equal height.
Therefore,
m
BC=80-x = 80-60=20 m
Putting value of x in equation (1), we get
m
Therefore, Distances of the point C from the poles are 60 m and 20 m.
And, the height of poles is
m
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Siyaram Saran says
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Siyaram Saran says
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