An athlete needs to get across a river. He must reach from point A on one bank to point B, which is directly across from point A on the opposite bank. If he wishes to minimize the total time T it would take to do so, at what angle upstreams (measured from the line AB) should he swim? Let his swimming/rowing speed relative to the water be 6.0 mi/h, and his running speed along the bank be 10 mi/h. The river flows downstream at 3.0 mi/h.
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