Two Ferris Wheels is on a Ferris wheel of center and radius 20 ft turning

Chapter 6, Problem 6.1.1.232

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Two Ferris Wheels is on a Ferris wheel of center (0,20) and radius 20 ft turning counterclockwise at the rate of one revolution every 12 sec. Kuan is on a Ferris wheel of center (15,15) and radius 15 turning counterclockwise at the rate of one revolution every 8 sec. Find the minimum distance between Chang and Kuan if both start out (t=0) at 3 o'clock.

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