Math, asked by mudrikajain7, 4 months ago

Two poles of equal heights are standing opposite to each other on either side of a road, which is 100 meters wide. From a

point between them on the road, the angles of elevation of their tops are 30ᵒ and 60ᵒ

. Find the position of the point and

also, the height of the poles. ( use 3 = 1.73)​

Answers

Answered by prajwalbenare
0

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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