document.write( "Question 101250: An airplane is headed N 65 degrees E with an air speed of 500 miles per hour. A tail wind is blowing in the direction of N 35 degrees E at 80 miles per hour. Find the actual speed and direction of the airplane. Round off answers to one decimal. \n" ); document.write( "
Algebra.Com's Answer #73761 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! An airplane is headed N 65 degrees E with an air speed of 500 miles per hour. A tail wind is blowing in the direction of N 35 degrees E at 80 miles per hour. Find the actual speed and direction of the airplane. Round off answers to one decimal. \n" ); document.write( "------------------ \n" ); document.write( "x-vector: 500cos(65)+80cos(35) = 276.841 \n" ); document.write( "y-vector: 500sin(65)+80sin(35) = 499.04 \n" ); document.write( "------------- \n" ); document.write( "resultant: \n" ); document.write( "r = sqrt(276.841^2+499.04^2) = 570.685 (actual speed) \n" ); document.write( "theta = tan^-1(499.04/276.841)= 60.981 degrees (actual direction)\r \n" ); document.write( "\n" ); document.write( "--------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |