SOLUTION: A plane flies on a bearing of 230o at 350 miles per hour. A wind is blowing from the west at 30 miles per hour. Find the groundspeed and the final bearing of the plane in the win

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Question 741105: A plane flies on a bearing of 230o at 350 miles per hour. A wind is blowing from the west at 30 miles per hour. Find the groundspeed and the final bearing of the plane in the wind.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A plane flies on a bearing of 230o at 350 miles per hour. A wind is blowing from the west at 30 miles per hour. Find the groundspeed and the final bearing of the plane in the wind.
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2 sides of the triangle are 350 & 30.
The angle between the 2 sides = 270 - 230 = 40 degs
GS+=+sqrt%28350%5E2+%2B+30%5E3+-+2%2A350%2A30%2Acos%2840%29%29
GS =~ 327.586 mi/hr
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angle A is between heading and ground track
GS/sin(40) = 30/sin(A)
A =~ 3.375 degs
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ground track = 230 - A = 226.6 degs