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)\"\" \"About 
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( "
\n" );