A Tower on a Cliff

A cliff with a tower on its edge is observed from a boat at sea, the elevation of the top of the tower is 30 degrees.  After rowing towards the shore a distance of 500 yards in the plane of the first observation, the elevations of the top and bottom of the tower are 60 degrees and 45 degrees respectively. Find the height of the cliff and the tower.

A Treatise on Plane Trigonometry, Ernest Hobson, 1891

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