SOLUTION: Two ships depart a port at the same time. One travels 11 degrees west of south at 45 mph while the other travels 22 degrees north of east at 21 mph. How far apart are they after 73

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Question 493655: Two ships depart a port at the same time. One travels 11 degrees west of south at 45 mph while the other travels 22 degrees north of east at 21 mph. How far apart are they after 73 minutes?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Two ships depart a port at the same time.
One travels 11 degrees west of south at 45 mph
x component: cos(270-11) = cos(259) = -0.1908
y component: sin(259) = -0.9816
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West distance: 45*(73/60)(-0.1908) = -10.45 miles
South distance: 45*(73/60)(-9816) = -53.74
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while the other travels 22 degrees north of east at 21 mph.
x component: cos(22) = 0.9272
y component: sin(22) = 0.3746
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Each distance: 21*73/60*0.9272 = 23.70
North distance: 21*(73/60)*0.3746 = 9.57
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How far apart are they after 73 minutes?
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d = sqrt[(-10.45-23.70)^2 + (-52.74-9.57)^2]
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d = sqrt[1166.22 + 3882.69]
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d = 71.06 miles
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Cheers,
Stan H.