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From the top of a 7m high building, the ...

From the top of a 7m high building, the angle of elevation of the top of a cable tower is `60^(@)` and the angle of depression of its foot is `45^(@)`. Determine the height of the tower.

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To solve the problem, we need to determine the height of the cable tower based on the given angles of elevation and depression from the top of a 7m high building. ### Step-by-Step Solution: 1. **Understand the Setup**: - Let \( A \) be the top of the building, \( B \) be the foot of the building, \( C \) be the foot of the cable tower, and \( D \) be the top of the cable tower. - The height of the building \( AB = 7 \) m. - The angle of elevation to the top of the tower \( D \) from point \( A \) is \( 60^\circ \). ...
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