Two wheels are rotating in such a way that the rotation of the smaller wheel causes the larger wheel to rotate. The radius of the smaller wheel is 8.8 centimeters and the radius of the larger wheel is 16.9 centimeters. Through how many degrees (to the nearest hundredth of a degree) will the larger wheel rotate if the smaller one rotates 180°?

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
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Chapter2: Right Triangle Trigonometry
Section2.3: Solving Right Triangles
Problem 82PS: A Ferris wheel has a radius of 45 feet and the bottom of the wheel stands 6.5 feet above the ground....
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Two wheels are rotating in such a way that the rotation of the smaller wheel
causes the larger wheel to rotate. The radius of the smaller wheel is
8.8 centimeters and the radius of the larger wheel is 16.9 centimeters. Through how many degrees (to the nearest hundredth of a degree) will the larger wheel rotate if the smaller one rotates 180°?

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