Answered: A ferris wheel built has a diameter of…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter8: Polar Coordinates And Parametric Equations

Section8.CT: Chapter Test

Problem 8CT

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A ferris wheel built has a diameter of 180 feet and sits 10 feet above the ground. It rotates in a counterclockwise direction, making one complete revolution every 20 minutes. Use parametric equations to model the path of a rider on this wheel. Place your coordinate system so that the origin of the coordinate system is on the ground below the bottom of the wheel. You want to end up with parametric equations that will give you the position of the rider every minute of the ride.

x=_____

y=____

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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