SOLUTION: A plane is headed at 270� at a speed of 450MPH. But there is 50MPH wind coming from a bearing of 170�. a. What is the actual speed of the plane? b. What is the bearing of the

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Question 851387: A plane is headed at 270� at a speed of 450MPH. But there is 50MPH wind coming from a bearing of 170�.
a. What is the actual speed of the plane?
b. What is the bearing of the plane's flight?

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
A plane is headed at 270� at a speed of 450MPH. But there is 50MPH wind coming from a bearing of 170�.
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x-coordinate: 450cos(270)+50*cos(170) = 450*0-49.24 = -49.24
y-coordinate: 450sin(270)+50sin(170) = -450+8.68 = -441.32
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a. What is the actual speed of the plane?
speed = sqrt[49.24^2 + 441.32) = 444.056 mph
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b. What is the bearing of the plane's flight?
bearing = arctan(441.32/49.24) = 83.62+180 = 263.62 degrees
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Cheers,
Stan H.
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