Two poles of equal heights are standing opposite to each other on either side of the
road, which is 100m wide. The angles of elevation of the top of the poles, fruta point
between them on the road are 30º and 60°, respectively. Find the height of the poles
and the distances of the point from the poles. (See in figure)
ny
300
600
100 m
Answers
Answered by
1
Answer:
Correct option is
A
25
3
In △AOC,
tan60
o
=
x
h
∴x=
3
h
In △BOD,
tan30
o
=
100−x
h
3
1
=
100−x
h
100−x=h
3
100−h
3
=x x=
3
h
∴100−h
3
=
3
h
∴h=25
3
m
∴x=
3
h
=
3
25
3
∴x=25 m
∴OC=25 m and OD=75 m.
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