SOLUTION: A twin engine turbo prop aircraft is flying at an air speed of 300 mph. If there is a wind blowing toward the East at 50 mph, what would be the aircraft's compass reading in order

Question 1200137: A twin engine turbo prop aircraft is flying at an air speed of 300 mph. If there is a wind blowing toward the East at 50 mph, what would be the aircraft's compass reading in order for its course to be 30 deg?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A twin engine turbo prop aircraft is flying at an air speed of 300 mph. If there is a wind blowing toward the East at - 50 mph, what would be the aircraft's compass reading in order for its course to be 30 deg?
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A plane's airspeed is 300 mi/hr (# of engines is not relevant).
The wind is 270 at 50 mi/hr (wind is given using the direction it's from).
Find the plane's heading for a ground track of 030.
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Draw a triangle ABC with 2 sides converging at the Origin, labelled A. One side is 300 and the 2nd side is 50.
Use the Sine Law:
300/sin(60) = 50/sin(A)
sin(A)= 50*sin(60)/300
A = ~ 8.3degrees
Heading = 90 - 68.3 degs = 21.7 degs
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Tho not asked for, the groundspeed is 307.68 mi/hr

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