14. As shown in the image below, a man starts from point A, and tries to swim across a 40-ft wide river to point B on the other de, downstream at a distance d. The river flows with a constant velocity v₁ = 2.3 ft/s, with direction shown in the image. The m an swim at a speed vm/r = 4.6 ft/s in still water (which is the relative constant speed with respective to the flowing water). If the istance d = 47 ft, determine the angle (in º) necessary for the man to direct his speed so, with the river flow, he can arrive at oint B. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the ecimal point. d d B
14. As shown in the image below, a man starts from point A, and tries to swim across a 40-ft wide river to point B on the other de, downstream at a distance d. The river flows with a constant velocity v₁ = 2.3 ft/s, with direction shown in the image. The m an swim at a speed vm/r = 4.6 ft/s in still water (which is the relative constant speed with respective to the flowing water). If the istance d = 47 ft, determine the angle (in º) necessary for the man to direct his speed so, with the river flow, he can arrive at oint B. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the ecimal point. d d B
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Step 1
Given: The width of river is 40 ft.
The velocity of the river is .
The speed of the man is 4.6 ft/s.
The distance d is 47 ft.
To determine: The angle .
The velocity is
To go to point B, the direction of is along AB .
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