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 A J, as a basic model for the rate of water flow x units from the west bank. 40 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.) ° south of east

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Trigonometry
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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
TTX
3 sin
40
40 m apart. If the maximum water speed is 3 m/s, we can use the sine function, f(x)
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.)
° south of east
Transcribed Image Text: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 TTX 3 sin 40 40 m apart. If the maximum water speed is 3 m/s, we can use the sine function, f(x) 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.) ° south of east
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