Inverse Trig Function Question I can't seem to solve

colejr

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A ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground. The six o'clock position on the ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 8 minutes. The function h = f(t) gives your height in meters above the ground t minutes after the wheel begins to turn. Write an equation for h = f(t).

The answer I was able to come up with is 15cos(pi/4)+17 which ended up being incorrect.
 
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A ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground. The six o'clock position on the ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 8 minutes. The function h = f(t) gives your height in meters above the ground t minutes after the wheel begins to turn. Write an equation for h = f(t).
Please show us what you have tried and exactly where you are stuck.

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Please share your work/thoughts about this problem.
 
height in feet as a function of time in minutes

plot the following points ... what “inverted” trig function curve can you visualize? what is its period? what is the midline between the maximum and minimum heights?

h(0) = 4

h(2) = 19

h(4) = 34

h(6) = 19

h(8) = 4
 
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