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in Trigonometry by (65.2k points)

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 60°. From another point 20 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° (see the figure given). Find the height of the tower and the width of the canal.

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by (65.5k points)
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Best answer

Let the height of TV tower, AB = h m. 

Breadth of a canal, BC = x m. 

∠ACB = 60° ∠ADB = 30°, 

DC = 20 m..

From eqin. (ii). 

h = x√3 = 10√3

∴ Height of tower = 10√3m 

Breadth of canal = 10 m.

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