Posted by Tom on .
A ferris wheel has diameter of 24 m and is 4 m above ground level at its lowest point. Assume that a rider enters a car from a platform that is 30^0 around the rim before the car reaches its lowest point. Model the rider's height above the ground versus angle using a transformed sine function

math 
Steve,
If we consider x the angle traveled since getting on the wheel,
h = 16+12sin(x120) 
math 
Tom,
Thanks Steve, but what is the reason for minus 120 and not plus 120?

math 
Steve,
I drew the diagram with the person boarding at 120°. As the wheel turns counterclockwise, x starts increasing from 0°. Depending on how you set up your diagram, maybe +120° is appropriate.