document.write( "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? \n" ); document.write( "
Algebra.Com's Answer #834517 by Alan3354(69443)\"\" \"About 
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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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\n" ); document.write( "A plane's airspeed is 300 mi/hr (# of engines is not relevant).
\n" ); document.write( "The wind is 270 at 50 mi/hr (wind is given using the direction it's from).
\n" ); document.write( "Find the plane's heading for a ground track of 030.
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\n" ); document.write( "Draw a triangle ABC with 2 sides converging at the Origin, labelled A. One side is 300 and the 2nd side is 50.
\n" ); document.write( "Use the Sine Law:
\n" ); document.write( "300/sin(60) = 50/sin(A)
\n" ); document.write( "sin(A)= 50*sin(60)/300
\n" ); document.write( "A = ~ 8.3degrees
\n" ); document.write( "Heading = 90 - 68.3 degs = 21.7 degs
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\n" ); document.write( "Tho not asked for, the groundspeed is 307.68 mi/hr
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