Question

As you ride a ferris wheel your distance from the ground varies sinusoidally with time. you notice that it takes you 80 seconds to make a full rotation around the wheel. if the diameter of the wheel is 48 feet, how far have you traveled in 40 seconds?

Answer 1

48/2=24 r=24
C=150.8
80sec=150.8 so 40sec=75.4
[hope i am correct it has been a while sense i was on circles]

Answer 2

40 seconds is 1/2 rotation, so you have gone 1/2 the circumference of the wheel:
C = πd, so you have gone through π*48/2 = 24π ft
fat newb is correct