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

by : $239$

 * 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?