Answered: the position of the rider every minute…

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter6: Equations

Section6.4: Parametric Equations And Further Graphing

Problem 41PS

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Question

Use parametric equations to model the path of a rider on the wheel. You want to end up with parametric equations, using t, that will give you the position of the rider every minute of the ride. Graph your results on a graphing calculator.

A Ferris wheel has a diameter of 197 feet and sits 8 feet above the ground. It rotates in a counterclockwise direction, making one complete revolution every 15 minutes. Place your coordinate system so that the origin of the coordinate system is on the ground below the bottom of the wheel.

System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

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