A camera operator is 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, the operator estimates that the stream is flowing at 0.669 m/s.0.669 m/s. In still water, the explorer can swim at 0.751 m/s.0.751 m/s. At what angle ?� (less than 90∘90∘) with respect to the shoreline should the operator advise him to swim so that he travels 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 s300 s (or 5 min5 min) before hypothermia sets in. Calculate the time ?� the explorer spends in the water if the river is 27.5 m27.5 m wide.
A camera operator is 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, the operator estimates that the stream is flowing at 0.669 m/s.0.669 m/s. In still water, the explorer can swim at 0.751 m/s.0.751 m/s.
At what angle ?� (less than 90∘90∘) with respect to the shoreline should the operator advise him to swim so that he travels 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 s300 s (or 5 min5 min) before hypothermia sets in.
Calculate the time ?� the explorer spends in the water if the river is 27.5 m27.5 m wide.
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