document.write( "Question 1135610: Three non-perpendicular vectors have magnitudes of 166, 77, 218 Newtons and respectively have angle of 7, 17 and 33 degrees with respect to the x-axis. Find the angle of their resultant.\r
\n" ); document.write( "\n" ); document.write( "Round to 2 decimal places.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #753430 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "\r\n" );
document.write( "     x-components         y-components\r\n" );
document.write( "      166∙cos(7°)          166∙sin(7°)\r\n" );
document.write( "      77∙cos(17°)          77∙sin(17°)\r\n" );
document.write( "     218∙cos(33°)         218∙sin(33°)\r\n" );
document.write( "--------------------------------------\r\n" );
document.write( "sums: 421.2283112          161.4742419\r\n" );
document.write( "\r\n" );
document.write( "magnitude of resultant = √421.2283112²+161.4742419² =\r\n" );
document.write( "451.1177462 Newtons.\r\n" );
document.write( "\r\n" );
document.write( "Angle of resultant, since it is in QI \r\n" );
document.write( "since both components are positive:\r\n" );
document.write( "\r\n" );
document.write( "q = tan-1(161.4742419/421.2283112) = 20.97389537°\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );