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A woman at a point A on the shore of a circular lake with radius 2 mi wants to arrive at the point C diametrically
A woman at a point A on the shore of a circular lake with radius 2 mi wants to arrive at the point C diametrically opposite A on the other side of the lake in the shortest possible time (see the figure). She can walk at the rate of 4 mi/h and row a boat at 2 mi/h. For what value of the angle shown in the figure will she minimize her travel time?
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