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Maths Some Applications of Trigonometry Medium

A TV tower stands vertically on a bank of a canal. From a point on the other bank directly opposite the tower…

A TV tower stands vertically on a bank of a canal. From a point on the other bank directly opposite the tower, the angle of elevation of the top of the tower is . From another point 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 (see Fig. 9.12). Find the height of the tower and the width of the canal.
  1. (i)Find the height of the TV tower.
  2. (ii)Find the width of the canal.
60° 30° A B C D h 20 m
Fig. 9.12

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