A Ferris wheel is 50 meters in diameter and rotates once every three minutes.  The center axle of the Ferris wheels is 30 meters from the ground. Assume the wheel starts rotating when the passenger is at the bottom of the Ferris wheel

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A Ferris wheel is 50 meters in diameter and rotates once every three minutes.  The center axle of the Ferris wheels is 30 meters from the ground. Assume the wheel starts rotating when the passenger is at the bottom of the Ferris wheel.

1. Find the height of a passenger on the Ferris wheel after each of the following times.

0 minutes = 

1 minute and 30 seconds = 

3 minutes and 45 seconds

7 minutes  = 

2. A mathematical model for this motion is given by the formula:

h=a+b-cos-ct     (where h = the height of a passenger in meters.)
                         (t = the time that has elapsed in minutes.)

Find values for a, b, and c that will model this situation.

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