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Puzzle Details

A rope swing hangs vertically down so that the end is 12 inches from the ground, and 48 inches from the tree.

If the swing is pulled across so that it touches the tree, it is 20 inches from the ground.

How long is the rope?

Puzzle Image

Puzzle Copyright © Elliott Line
This puzzle appeared in Mensa's EnigmaSig (198.24) and is used with permission.

hide hint answer workings

Hint: You might find Pythagoras' theorem very useful [a2 + b2 = c2].

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