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A TV tower stands vertically on the side...

A TV tower stands vertically on the side of a road. From a point on the other side directly opposite to the tower, the angle of elevation of the top of tower is `60^(@)`. From another point 10 m away from this point, on the line joining this point to the foot of the tower, the angle of elevation of the top of the tower is `30^(@)`. Find the height of the tower and the width of the road.

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The correct Answer is:
Height of the tower `= 5sqrt(3)m`; Width of the road = 5 m
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