document.write( "Question 851387: A plane is headed at 270° at a speed of 450MPH. But there is 50MPH wind coming from a bearing of 170°. \r
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document.write( "a. What is the actual speed of the plane?
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document.write( "b. What is the bearing of the plane's flight?\r
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Algebra.Com's Answer #512803 by stanbon(75887) ![]() You can put this solution on YOUR website! A plane is headed at 270° at a speed of 450MPH. But there is 50MPH wind coming from a bearing of 170°. \n" ); document.write( "---- \n" ); document.write( "x-coordinate: 450cos(270)+50*cos(170) = 450*0-49.24 = -49.24 \n" ); document.write( "y-coordinate: 450sin(270)+50sin(170) = -450+8.68 = -441.32 \n" ); document.write( "-------- \n" ); document.write( "a. What is the actual speed of the plane? \n" ); document.write( "speed = sqrt[49.24^2 + 441.32) = 444.056 mph \n" ); document.write( "-------------------------------------------------- \n" ); document.write( "b. What is the bearing of the plane's flight? \n" ); document.write( "bearing = arctan(441.32/49.24) = 83.62+180 = 263.62 degrees \n" ); document.write( "-------------------------------------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "========================= \n" ); document.write( " \n" ); document.write( " |