Answer:
7 ft.
Step-by-step explanation:
Please see the attached image.
I named the center Z btw
Because the circle is split into three congruent angles, each angle is 360/3=120°.
After dropping an altitude on the bottom triangle, the angle is bisected, so 120/2=60°.
By dropping the altitude, we also created a 30-60-90 triangle. By now you have probably learned the proportions for the sides of a 30-60-90 triangle, but if you haven't,
the side opposite the 30° angle is half the hypotenuse, and the side opposite the 60° angle is the other leg multiplied by √3.
So ZW is 4/2=2, and WY is 2√3.
XW=WY, so XY=2√3*2=4√3
4√3 is approximately 7.
7 ft.