you are a member of a production crew filming a nature explorer in the rocky mou

Question

you are a member of a production crew filming a nature explorer in the rocky mountains. the explorer needs to swim across a river to his campsite. by watching debris flowing down the river, you estimate that the stream is flowing at 0.629 m / s. in still water, he can swim at 0.731 m / s. at what angle, less than 90°, with respect to the shoreline would you advise him to swim to travel directly across the stream to his campfire? the water is near freezing in temperature. typically a human can only swim in such water for about 300 seconds (or 5 minutes) before hypothermia sets in. calculate the time the explorer spends in the water if the river is 28.9 meters wide.

Explanation / Answer

0.731 * cos(theta) = 0.629

theta = arcos(0.629 / 0.731)

= 30.63 deg

--------------------------------------

time = d/v

= 28.9 / (0.731 * sin(30.63))

= 77.6 s

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