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Two pillars of equal heights stand on ei...

Two pillars of equal heights stand on either side of a road which is 100 m wide. At a point on the road between the pillars, the angles of elevations of the tops of the pillars are `30^@ and 45^@`. Find the height of each pillar and position of the point on the road.

Text Solution

Verified by Experts

`In/_ABC`
`tan30=h/x`
`h/x=1/sqrt3`
`x=sqrt3h-(1)`
`In/_EAD`
`tan45=h/(100-x)`
`h/(100-x)=1`
`h=100-x-(2)`
...
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