A woman at a point A on the shore of a circular lake with radius 2 miles 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). S 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? A 0 2 2 B C Q

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