Henry Ernest Dudeney/Puzzles and Curious Problems/239 - The Bell Rope

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Puzzles and Curious Problems by Henry Ernest Dudeney: $239$

The Bell Rope
A bell rope, passing through the ceiling above, just touches the belfry floor,
and when you pull the rope to the wall, keeping the rope taut, it touches a point just $3$ inches above the floor,
and the wall was $4$ feet from the rope, when it hung at rest.
How long was the rope from floor to ceiling?


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Sources