Given that the
ferris wheel has a diameter of 30 feet and a midline
of 18 feet. This means that trough (minimum point) of the ferris wheel is at y = 18 - (30 / 2) = 18 - 15 = 3 i.e. the ferris wheel rotates about a minimum point at y = 3 and a maximum point at y = 33
Thus, the amplitude 30 and the vertical shift is 3.
Given that the ferris wheel makes one revolution every 60 seconds. This means that the phase angle is 360° / 60 = 60°/sec
If
amanda and steve are riding on this ferris wheel, the equation that could
be used to model d, the distance amanda and steve are from the ground as
they ride the ferris wheel as a function of time, t is given by
[tex]d=30\sin6\left(t+45\right)+33[/tex]
