document.write( "Question 687793: Two forces act on a point on the plane. The angle between the two forces is given. Find the magnitude of the resultant force.\r
\n" ); document.write( "\n" ); document.write( "forces of 19 and 32 newtons, forming an angle of 118 degrees. \n" ); document.write( "

Algebra.Com's Answer #425354 by Edwin McCravy(20060) $\"\"$ $\"About$

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document.write( "We will pick the 19 N force to be at angle 0° for convenience:\r\n" );
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document.write( "           Magnitude   Angle       x-component        y-component\r\n" );
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document.write( "Force 1      19N         0°      19cos0°=  19         19sin0° = 0\r\n" );
document.write( "Force 2      32N       118°    32cos118°= -15.023   32sin118° = 28.254\r\n" );
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document.write( "                                   SUM =    3.977         SUM = 28.254\r\n" );
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document.write( "                             Resultant = \r\n" );
document.write( "                                       = 28.533 N\r\n" );
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document.write( "We can also use the law of cosines (but use the supplement of the angle):\r\n" );
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document.write( "R² = 19² + 32² - 2(19)(32)cos(180°-118°)\r\n" );
document.write( "R² = 361 + 1024 - 1216cos(62)\r\n" );
document.write( "R² = 814.1225797\r\n" );
document.write( " R = √814.1225797\r\n" );
document.write( " R = 28.533N\r\n" );
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document.write( "Edwin

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