Question

. The distance between two poles of equal
height is 400 m. From a point on the line
segment joining their bases, the angles of
elevation of the tops of the poles are found
to be 60° and 30°. Find the distance of the
point of observation from the pole closer to
it and also find the height of 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.

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