document.write( "Question 998952: To a person riding a bike with velocity (7 i + 3 j) km/h the wind seems to have velocity (9 i + 10 j) km/h. \r
\n" );
document.write( "\n" );
document.write( "State the true velocity of the wind in i, j vector form.
\n" );
document.write( "velocity (km/h) = 16i + 13j \r
\n" );
document.write( "\n" );
document.write( "What is the speed of the wind?
\n" );
document.write( "speed (km/h) = 20.6 \r
\n" );
document.write( "\n" );
document.write( "I'm stuck on the last part: \r
\n" );
document.write( "\n" );
document.write( "Taking i as due East, what is the direction of the wind (in standard bearing notation) to the nearest degree?
\n" );
document.write( "bearing (°) ≈\r
\n" );
document.write( "\n" );
document.write( "THANK YOU! \n" );
document.write( "
Algebra.Com's Answer #616707 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! we have the i component given as 16 and the magnitude of the two components is 20.6, therefore the cosine of x is \n" ); document.write( "cos x = 16 / 20.6 = 0.776699029 \n" ); document.write( "now we want the cosine inverse of 0.776699029 to find the bearing \n" ); document.write( "cos^(-1) 0.776699029 = 39.04 degrees \n" ); document.write( "note that bearing is measured from the positive x axis\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |