Question

Two windmills of height 50 meters and 40 meters are on either side of the field.

A person observes the top of the windmills from a point in between the towers.

The angle of elevation was found to be 45o in both the cases. Find the distance

between the windmills.

Answer 1

let ab and cd be the towers =50 metres and 40 metres respectively
and the point from where the person is watching be e.
therefore,in triangle abe,
tan 45=opp/adj=ab/be
         1 =50/be
          be=50 metres
in triangle cde,
tan 45=opp/adj=cd/de
        1=40/de
        de=40 metres
the distance between the wind mills=bd=be+ed=50+40=90 metres 
therefore the answer is 90 metres
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Answer 2

The answer is given :-