document.write( "Question 453881: A plane is flying 240 mph heading N60°E. The wind is blowing S30°E at 30 mph.\r
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document.write( "What is ground speed of the plane?
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document.write( "What is the smallest angle in the triangle?
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document.write( "What is the biggest angle in the triangle?
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document.write( "What is the remaining angle in the triangle?
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document.write( "What is the bearing of the plane? \n" );
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Algebra.Com's Answer #311761 by stanbon(75887) ![]() You can put this solution on YOUR website! A plane is flying 240 mph heading N60°E. \n" ); document.write( "The wind is blowing S30°E at 30 mph. \n" ); document.write( "------------------- \n" ); document.write( "Plane components: \n" ); document.write( "xp = 240cos(60) \n" ); document.write( "yp = 240sin(60) \n" ); document.write( "----- \n" ); document.write( "Wind components: \n" ); document.write( "xw = 30cos(30) \n" ); document.write( "yw = 30sin(30) \n" ); document.write( "----- \n" ); document.write( " \n" ); document.write( "What is ground speed of the plane? \n" ); document.write( "Actual plane position after one hour in the air: \n" ); document.write( "(240cos(6)+30cos(30);240sin(60)+30sin(3)) = (145.98,222.85) \n" ); document.write( "Ground speed = sqrt[145.98^2+222.85^2] = 266.40 mph \n" ); document.write( "=============================================================== \n" ); document.write( " \n" ); document.write( "What is the smallest angle in the triangle? \n" ); document.write( "What is the biggest angle in the triangle? \n" ); document.write( "What is the remaining angle in the triangle? \n" ); document.write( "--- \n" ); document.write( "Question: Which triangle? the given condition triangle \n" ); document.write( "or the resultant triangle? \n" ); document.write( "=========================== \n" ); document.write( "What is the bearing of the plane? \n" ); document.write( "tan^-1[222.85/145.98] = 56.77 degrees \n" ); document.write( "========================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |