Problem

Robin and Marian Robin Hood plans to use a 30-ft ladder to reach the castle window of Maid...

Robin and Marian Robin Hood plans to use a 30-ft ladder to reach the castle window of Maid Marian. Little John, who made the ladder, advised Robin that the angle of elevation of the ladder must be between 55° and 70° for safety. What are the minimum and maximum heights that can safely be reached by the top of the ladder when it is placed against the 50-ft castle wall? Round to the nearest tenth.

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