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The Clothes Line Puzzle

Unreviewed import — a classic from the public domain; its solution has not been machine-checked yet.

math
A boy tied a clothes line from the top of each of two poles to the base of the other. He then proposed to his father the following question. As one pole was exactly seven feet above the ground and the other exactly five feet, what was the height from the ground where the two cords crossed one another?

Solution

Commit an attempt to unseal the proof. Write your answer — right or wrong, thinking it through is the point.

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