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A TV tower stands vertically on a bank of canal. Form a point on the other bank directly opposite the tower, the angle of elevation of the top of the tower is . From another point away from the point on the line joining this point to the foot of the tower, the angle of elevation of the top of the tower is . Find the height of the tower and the width of the canal.

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Let be the height of the tower and be the width of the canal. We have,

and

In

Again in

Substituting in (i), we get

=> the height of the TV tower is and the width of the canal is .