SOLUTION: An airplane leaves Fargo at a heading of 70 degrees and an air speed of 280 mph. If the wind blows 40 mph from 160 degrees, find the ground speed and the tangent of the drift angle

Question 1008290: An airplane leaves Fargo at a heading of 70 degrees and an air speed of 280 mph. If the wind blows 40 mph from 160 degrees, find the ground speed and the tangent of the drift angle.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
An airplane leaves Fargo at a heading of 70 degrees and an air speed of 280 mph. If the wind blows 40 mph from 160 degrees, find the ground speed and the tangent of the drift angle.
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Let the starting point be (0,0)
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Then the end point after one hour is::
x-coordinate:: 280cos(70) + 40cos(160) = 58.18
y-coordinate:: 280sin(70) + 40sin(160) = 276.79
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ground speed = sqrt[58.18^2 + 276.79^2] = 282.84 mph
drift angle = arctan(276.79/58.18) = 79.13 degrees
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Cheers,
Stan H.
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