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A TV tower stands vertically on a bank ...

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 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 canal.

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To solve the problem step by step, we will use trigonometric ratios to find the height of the tower and the width of the canal. ### Step 1: Define Variables Let the height of the tower be \( h \) meters. Let the width of the canal be \( x \) meters. ### Step 2: Analyze the First Triangle From the point directly opposite the tower, the angle of elevation to the top of the tower is \( 60^\circ \). We can use the tangent function: \[ ...
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