Question

Two poles of equal height stand vertically opposite to each other on either side of the road, which is 100 m wide. From a point on the road between the poles, the angle of elevation of the tops of the poles are 30 degree and 60 degree . Find the heights of the poles. Also find the distance of the point from the feets to the poles.​

Answer 1

Answer:

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.