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 0.633 m/s. In still water, the explorer can swim at 0.759 m/s. At what angle, less than 90°, with respect to the shoreline should the operator advise him to swim so that he travels directly across the stream to his campfire? angle: 33.389 The water is near freezing in temperature. Typically a human can only swim in such water for about 300 s (or 5 min) before hypothermia sets in. Calculate the time the explorer spends in the water if the river is 28.3 m wide. time in the water: 81.03 S Incorrect Based on the results, what should the camera operator's decision be about the explorer's swim? Approved. He will get cold but he should be able to make it across. Sorry, but the swim must be cancelled. He will never make it across in time.

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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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 0.633 m/s. In still
water, the explorer can swim at 0.759 m/s. At what angle, less than 90°, with respect to the shoreline should the operator
advise him to swim so that he travels directly across the stream to his campfire?
angle: 33.389
The water is near freezing in temperature. Typically a human can only swim in such water for about 300 s (or 5 min) before
hypothermia sets in. Calculate the time the explorer spends in the water if the river is 28.3 m wide.
time in the water:
81.03
S
Incorrect
Based on the results, what should the camera operator's decision be about the explorer's swim?
Approved. He will get cold but he should be able to make it across.
Sorry, but the swim must be cancelled. He will never make it across in time.
Transcribed Image Text: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 0.633 m/s. In still water, the explorer can swim at 0.759 m/s. At what angle, less than 90°, with respect to the shoreline should the operator advise him to swim so that he travels directly across the stream to his campfire? angle: 33.389 The water is near freezing in temperature. Typically a human can only swim in such water for about 300 s (or 5 min) before hypothermia sets in. Calculate the time the explorer spends in the water if the river is 28.3 m wide. time in the water: 81.03 S Incorrect Based on the results, what should the camera operator's decision be about the explorer's swim? Approved. He will get cold but he should be able to make it across. Sorry, but the swim must be cancelled. He will never make it across in time.
Expert Solution
Step 1

Given information:

The speed of the river water (Vr) = 0.633 m/s

The speed of the person in still water (Vp) = 0.759 m/s

The angle at which the person swims (θ) = 33.3890

The width of the river (w) = 28.3 m

we can represent the scenario as:

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