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Two pillars of equal height stand on eit...

Two pillars of equal height stand on either side of a roadway which is 120 m wide. At a point in the road between the pillars, the angles of elevation of the pillars are `60^@` and `30^@`. Find the height of each pillars to the nearest metre and position of the point from both the pillars.

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The correct Answer is:
height = 64.875 m and position is at a distance of 112.5 m from AB
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