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Cheng Dawei, a mathematician in China in the Ming Dynasty, wrote a book about mathematics (the eighth grade math problem).
Solution: when the swing is not up, the cable is perpendicular to the ground; When two steps are taken (10 feet), the additional five feet are actually: 5- 1=4 (feet).

Assume that the cable length is x feet.

Then: x? = 10? +4?

The solution is x≈ 10.77.

So: the cable length is 10.77 feet.