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.
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The answer is: Tower is 183 yards tall, cliff is 250 yards tall.
"A Tower On A Cliff," Loci (December 2004)