As you ride a ferris wheel, your distance from the ground varies sinusoidally with time. When the last passenger boards the ferris wheel and the ride starts moving, let your position be modeled by the diagram provided.

Let t be the number of seconds that have elapsed since you began moving. It takes you 5 seconds to reach the top of the wheel (38 feet above the ground) and 20 seconds to make a complete revolution. The diameter of the wheel is 30 feet.
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Write the equation of a sinusoid that describes the motion?
A=15
B: pi/10
C:??? (phase shift)
D:??? (Vertical shift)

2 answers

C:none
D: 8 feet
D is actually 23 bc its 8 ft above the lowest point, so you also need to add the 15 feet of radius