From the top of a cliff an observer finds that the angles of depression of two buoys in the sea are 39∘ and 26∘ respectively; the buoys are 300 yards 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 cot26∘=2.0503, and cot39∘=1.2349.
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