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**RogueDemon** The height above the ground of one of the seats of a Ferris wheel, in metres, can be modelled by the function $\displaystyle h(t) = 8 + 7(sin15(t))$ where $\displaystyle t$ is measured in seconds.

a) What is the maximum and minimum height reached by any seat?

My answer:

Sub in t = 90 and t = 270 to obtain the max and the min, 15m and 1m.

Mr F says: Correct. But easier to just say that the min and max value of sin is +1 and -1 .....

b) How long does it take for the seat on this ride to rotate back to its starting point?

How exactly am I supposed to figure this out? I know I'm supposed to isolate for $\displaystyle t$, but I can only do that if I have a value for $\displaystyle h(t)$.

Any help would be appreciated.