A frog at point A on the shore of a circular lake wants to reach point B diametrically opposite A. If the frog can swim at a rate 17 meters per second and can move on land at a rate 5 meters per second, at what angle (in degrees) from the diameter should the frog start to swim to reach B at the shortest possible time?

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
Problem 42E: A goat is tethered to a barn by a 12-ft chain. If the chain is connected to the barn at a point 6 ft...
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A frog at point A on the shore of a circular lake wants to reach point B diametrically opposite A. If the frog can swim at a rate 17 meters per second and can move on land at a rate 5 meters per second, at what angle (in degrees) from the diameter should the frog start to swim to reach B at the shortest possible time?

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