Question

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, from a point

between them on the road are 300

and 600

, respectively. Find the height of the poles

and the distances of the point from the poles. ​

Answer 1

Step-by-step explanation:

In △AOC,

tan60o=xh  ∴x=3h

In △BOD, 

tan30o=100−xh

31=100−xh      100−x=h3

100−h3=x   x=3h

∴100−h3=3h

∴h=253m

∴x=3h=3253