EC = BD = 5 feet, AC= 1 foot,

∴EA=EC-AC=5- 1=4 (feet), OE=OA-AE=(x-4) feet,

In Rt△OEB, OE=(x-4) feet, OB=x feet, EB= 10 feet,

According to Pythagorean theorem, x2=(x-4)2+ 102,

Finishing: 8x= 1 16, namely 2x=29,

Solution: x = 14.5.

Then the length of the swing rope is 14.5 feet.