Please help!!
The largest Ferris Wheel in the world is the London Eye in England. The height (in meters) of a rider on the London Eye after t minutes can be described by the function h(t) = 65 sin[12(t − 7.5)] + 70. (15)

A) At what time(s) will the rider be at a height of 100 m?
B) How long does it take for the Ferris wheel to go through one rotation?

Question

Please help!!
The largest Ferris Wheel in the world is the London Eye in England. The height (in meters) of a rider on the London Eye after t minutes can be described by the function h(t) = 65 sin[12(t − 7.5)] + 70. (15)

A) At what time(s) will the rider be at a height of 100 m?
B) How long does it take for the Ferris wheel to go through one rotation?

aum · Answer

h(t) = 65 sin[12(t − 7.5)] + 70

"At what time(s) will the rider be at a height of 100 m"

Set h(t) = 100 and solve for t:
100 = 65 sin[12(t − 7.5)] + 70

princeharryyy · Answer

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anonymous · Answer

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princeharryyy · Answer

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anonymous · Answer

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princeharryyy · Answer

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anonymous · Answer

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princeharryyy · Answer

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anonymous · Answer

september 1st

princeharryyy · Answer

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princeharryyy · Answer

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aum · Answer

For b):
If the function is Asin(Bx - C) + D, the period is (2*pi) / B.

How long does it take for the Ferris wheel to go through one rotation?  They are asking for the period.  65 sin[12(t − 7.5)] + 70.  Here B = 12.  Therefore, the period = (2*pi)/12 = pi/6 = 0.5236 minute.