Two poles, AB and ED, are fixed to the ground with the help of ropes AC and EC, as shown: Two right triangles ABC and EDC have a common vertex C. Angle ABC and EDC are right angles. AB is labeled 11 feet, AC is labeled 13 feet, EC is labeled 10 feet, and ED is labeled 5 feet.

What is the approximate distance, in feet, between the two poles?

6.93 feet
8.66 feet
12.32 feet
15.59 feet