man at point A on the shore of a circular lake of radius 1 km wants to reach point B on the shore diametrically opposite A. If he can row a boat 3 km/hr and jog 6 km/hr, at what angle with the diameter should he row in order to reach B in the shortest possible time?

man at point A on the shore of a circular lake of radius 1 km wants to reach point B on the shore diametrically opposite A. If he can row a boat 3 km/hr and jog 6 km/hr, at what angle with the diameter should he row in order to reach B in 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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Question

A man at point A on the shore of a circular lake of radius 1 km wants to reach point B on the shore diametrically opposite A. If he can row a boat 3 km/hr and jog 6 km/hr, at what angle with the diameter should he row in order to reach B in the shortest possible time?

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