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A person, standing on the bank of a river, observes that the angle subtended by a tree on the opposite bank is `60^0dot` When he retreates 20m from the bank, he finds the angle to be `30^0dot` Find the height of the tree and the breadth of the river.

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A T.V. Tower stands vertically on a bank of a river. From a point on the other bank directly opposite to the tower, the angle of elevation of the top of the tower is 60 degrees. From a point 20m away this point on the same bank, the angle of elevation of the top of the tower is 30o . Find the height of the tower and the width of the river.

A statue 8 meters high standing on the top of a tower 64 meters high, on the bank of a river, subtends at a point A on the opposite bank, directly facing the tower, the same angle as subtends at the same point A by man of height 2 meters standing at the base of the tower. Prove that the breadth of the river is 16sqrt(6) meters.

The angle of elevation of the top of a tower as observed from a point in a horizontal plane through the foot of the tower is 32^0dot When the observer moves towards the tower a distance of 100m, he finds the angle of elevation of the top to be 63^0dot Find the height of the tower and the distance of the first position from the tower. [Take tan32^0=06248a n dtan63^0=1. 9626]

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