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(8 points) 4. The shoreline of a lake is a circle with diameter 3 km. Peter stands at point E and wants to reach the

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(8 points) 4. The shoreline of a lake is a circle with diameter 3 km. Peter stands at point E and wants to reach the diametrically opposite point W. He intends to jog along the north shore to a point P and then swim the straight line distance to W. If he swims at a rate of 3 km/h and jogs at a rate of 24 km/h. How far should he jog in order to arrive at point W in the least amount of time

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