Answer:
To find the length of the intercepted arc, we need to use the formula:
length of intercepted arc = (central angle / 360°) x 2πr
where r is the radius of the circle.
Given that the central angle is 110° and the radius is 15 feet, we can plug in these values into the formula and get:
length of intercepted arc = (110° / 360°) x 2π x 15 feet
length of intercepted arc = (0.3056) x (30π) feet
length of intercepted arc ≈ 9.17 feet
Therefore, the length of the intercepted arc is approximately 9.17 feet.