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You are locked in a 50 by 50 by 50-foot room which sits on 100-foot stilts. There is an open window at the corner of the room, near the floor, with a strong hook cemented into the floor by the window. So if you had a 12-foot rope, you could tie one end to the hook, and climb down the rope to freedom. (The stilts are not accessible from the window) There are two 50- foot lengths of rope, each cemented into the ceiling, about 1 foot apart, near the center of the ceiling. You are a strong, agile rope climber, good at tying knots, and you have a sharp knife. You have no other tools (not even clothes). The rope is strong enough to hold your weight, but not if it is cut lengthwise. You can survive a fall of no more than 10 feet.How do you get out alive?

I am not sure that I'm right, but if we read the question again we see these points:

1)"If I have a 100ft rope,I can climb down to freedom." This tells us the exact location of the window. If it is not at the same level of the stilts than 100 foot rope will be useless. This is means it's less than 100 feet above the floor.

2)I am strong.

3)I am an agile rope climber.

4)The most important point: I have a sharp knife or my knife is sharp.

So then if I tie the knife with the ropes and pull them in the directions for which they will cut of I can have both of the ropes.But the problem is if one rope get torn before the other then I can't have both of the ropes!

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    Add your thoughts in the question. – SarGe Aug 24 '20 at 16:22
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    Although there is some geometry involved here, I wonder if Puzzling.SE might be a better place for this question. – Blue Aug 24 '20 at 16:24
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    "So if you had a I 2-foot rope ..." ... Should that be a "102-foot rope" (allowing $2$ feet from hook to window, then $100$ feet down to the ground; or maybe $12$ feet from hook to window, then $90$ feet down, leaving a survivable $10$-foot drop to the ground)? – Blue Aug 24 '20 at 16:31
  • Hint. Too easy. I mean, if they were ten feet apart, that might be a challenge. But a foot apart? Child's play. :-) – Brian Tung Aug 24 '20 at 17:28
  • @BrianTung - OK, thanks to your teaser, I've been thinking about this but without any success! What's the solution? Or at least, more hint please? The obviously solution of climbing up to the ceiling and then cutting both ropes doesn't work coz I cannot survive the 50 ft fall. Does it involve making a small loop/noose? – antkam Aug 25 '20 at 17:23

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