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Water traveling along a straight portion of a river normally flows fastest in the middle, and the speed slows to almost zero at the banks. Consider a long straight stretch of river flowing north, with parallel
banks 40 m apart. If the maximum water speed is 3 m/s, we can use the sine function, $f(x) = 3 \sin\left(\frac{\pi x}{40}\right)$, as a basic model for the rate of water flow x units from the west bank.
Suppose a boater would like to pilot the boat to land at the point B on the east bank directly opposite point A. If the boat maintains a constant heading and a constant speed of 5 m/s, determine the angle
(in degrees south of east) at which the boat should head. (Round your answer to one decimal place.)
67.6
$\times$ south of east
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