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Trigonometry: Application in a Ferris Wheel

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Please help with the following problem involving a trigonometry application.

A ferris wheel has a radius of 26 ft and makes one revolution counterclockwise every 12 sec. If t=0 represents the 6 o' clock position, find a formula to represent the height of a person on the ferris wheel after t seconds.

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Solution Summary

This solution helps with a trigonometry question. The problem involves a ferris wheel and helps find a formula to represent the height of a person on a ferris wheel after t seconds if has a 26 feet raduis and turns counterclockwise every 12 seconds. Step by step calculations with explanations are given.

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Problem: A ferris wheel has a radius of 26 ft and makes one revolution counterclockwise every 12 sec. If t=0 represents the 6 o' clock position, find a formula to represent the height of a person on the ferris wheel after t seconds.

Solution:

I will assume that the Ferris wheel touches the ground so that the max height (top of the wheel) is at 52 ft (diam = 2*radius).

First thing we need to know is: how is ...

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