From the top of a cliff an observer finds that the angles of depression of two buoys in the sea ...
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From the top of a cliff an observer finds that the angles of depression of two buoys in the sea are \( 39^{\circ} \) and \( 26^{\circ} \) respectively; the buoys are 300 metres apart and the line joining them points straight at the foot of the cliff; find the height of the cliff and the distance of the nearest buoy from the foot of the cliff, given that \( \cot 26^{\circ}=2.0503 \), and \( \cot 39^{\circ}=12349 \)
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