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)![]() ![]() 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? \n" ); document.write( "------------------- \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. \n" ); document.write( "--- \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 \n" ); document.write( "===================== \n" ); document.write( "Tho not asked for, the groundspeed is 307.68 mi/hr \n" ); document.write( " \n" ); document.write( " |