Question 1168004: An airplane maintains a speed with respect to the air in the absence of wind of 280 mi/h and is on a bearing of N 40° W. If the wind is blowing west at 30 mi/h, determine the final bearing of the airplane and its speed with respect to the earth. (300 mph, N 44° W)
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! An airplane maintains a speed with respect to the air in the absence of wind of 280 mi/h and is on a bearing of N 40° W. If the wind is blowing west at 30 mi/h, determine the final bearing of the airplane and its speed with respect to the earth. (300 mph, N 44° W)
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An airplane maintains an airspeed of 280 mi/h and is on a bearing of 320°. If the wind is from 270 at 30 mi/h, determine the ground track of the airplane and its groundspeed. (300 mph, N 44° W)
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Use the cosine Law
2 sides and the included angle are given.
g^2 = 280^2 + 30^2 - 2*280*30*cos(40)
g =~ 257.74 mi/hr
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Use the Law of Sines to find the small angle
257.74/sin(40) = 30/sin(A)
sin(A) = 4.29 degs
Ground track = 324.29 degs
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Wind is always given as direction it's FROM.
If you meant it was from the east ("blowing west") you'll have to rework it using the same methods.
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