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Charlie and Alexandra are running around a circular track with radius 60 meters. Charlie started at...

Charlie and Alexandra are running around a circular track with radius 60 meters. Charlie started at the westernmost point of the track, and, at the same time, Alexandra started at the northernmost point. They both run counterclockwise. Alexandra runs at 3 meters per second, and will take exactly 3 minutes to catch up to Charlie.

Impose a coordinate system with units in meters where the origin is at the center of the circular track, and give the x- and y-coordinates of Charlie after one minute of running. (Round your answers to three decimal places.)

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