Answer:
1289.31 feet
Explanation:
One full ride has 3 minutes of duration, and the speed of the carousel is 3.8 revolutions per minute, therefore one full ride takes 3.8*3 = 11.4 revolutions.
If the diameter of the carousel is 36 feet, its circunference is pi*36 feet long.
In each revolution of the carousel, it travels the length of its circunference, that is, pi*36 feet.
If one full ride has 11.4 revolutions, the total distance travelled by the rider is 11.4 * pi * 36 = 1289.31 feet