Question

The distance from the ground of a person riding on a Ferris wheel can be modeled by the equation d equals 30 times the sine of the quantity pi over 40 times t end quantity plus 20 comma where d represents the distance, in feet, of the person above the ground after t seconds. How long will it take for the Ferris wheel to make one revolution?

Answer 1

Because the equation has a sinoidal shape, we have to look at the argument of the sine function to know how long it takes one revolution.

If we graph the given sin function:

We notice that the period of the function is 80, it is, each 80 seconds it passes through the same point.

Hence the answer is the third option, 80 seconds.

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