Question 12 of 15 Incorrect Map Sapling Learning macmillan learning u are a memb
ID: 1653047 • Letter: Q
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Question 12 of 15 Incorrect Map Sapling Learning macmillan learning u 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 1.49 mph. In still water, he can swim at 1.71 mph. At what angle with respect to the shoreline would you advise him to swim to travel directly across the stream to his campfire? Number 29.6 The water is near freezing in temperature. Tvpically a human can only swim in such water for about 5 minutes before hypothermia sets in. Calculate the time the explorer spends in the water if the river is 87.7 feet wide Number 1900 minutes 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 need to cancel the swim He'll never make it across in time Previous Give Up & View Solution Q Check Answer Next Exit HintExplanation / Answer
v_stream = 1.49 mph
if he want to reach directlty cross the stream then total velocity along the flow will be zero.
v = v_stream - 1.71 cos(theta) = 0
cos(theta) = 1.49 / 1.71
theta = 29.4 deg ........Ans
d = 87.7 feet = 0.0166 miles
velocity in theta direction, v = 1.71 sin(29.4) = 0.839 mph
t = 0.0166 / 0.839 = 0.0198 hr
t (in min) = 0.0198 x 60 = 1.2 min ........Ans
Approved. because time is less than 5 min. . ....Ans
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