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The angle of elevation of the top of an ...

The angle of elevation of the top of an unfinished tower at a distance of 120 m from its base is `30^(@)`. How much higher must the tower be raised so that the angle of elevation of its top at the same point may be `60^(@)` ?

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To solve the problem, we need to find out how much higher the tower must be raised so that the angle of elevation from a point 120 meters away from its base changes from \(30^\circ\) to \(60^\circ\). ### Step-by-Step Solution: 1. **Identify the height of the unfinished tower (x)**: - From the point 120 m away, the angle of elevation to the top of the tower is \(30^\circ\). - Using the tangent function: \[ ...
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