You are a member of a production crew filming a nature explorer is the Rocky Mou

Question

You are a member of a production crew filming a nature explorer is 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 0.621 m / s. in still water, he can swim at 0.711 m / s. At what angle, less than 90 degree, with respect to the shoreline would you advise him to swim to travel directly across the stream to his campfire? Number _________ degree. The water is near freezing in temperature. Typically a human can only swim in such water for about 300 seconds ( or 5 minutes) before hyperthermia sets in. Calculate the time the explorer spends in the water if the river is 26.7 meters wide. Number _________ s Based on your results, what would be your advice to the explorer? Approved. He'll get cold but he should be able to make it across. Sorry, but we will needs to cancel the swim. He'll never make it across in time.

Explanation / Answer

Lat the angle be x

0.711 cosx=0.621

X=29.14 degrees

Now velocity across the river=0.711sinx=0.34m/s

Time taken to cross the river=26.7/0.34=77.11s

Approved, he will get cold but he will make it across

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