document.write( "Question 935669: In OPQ, o = 870 inches, P = 80 degrees, and Q = 9 degrees. Find the length of p to the nearest 10th of an inch. \n" ); document.write( "
Algebra.Com's Answer #569032 by tommyt3rd(5050)\"\" \"About 
You can put this solution on YOUR website!
We'll denote the measure of angle X as \r
\n" ); document.write( "\n" ); document.write( "\"m%28X%29\"\r
\n" ); document.write( "\n" ); document.write( "In any triangle the sum of the angles is 180 degrees, so
\n" ); document.write( "\"m%28P%29%2Bm%28Q%29%2Bm%28O%29=180\"\r
\n" ); document.write( "\n" ); document.write( "so we know\r
\n" ); document.write( "\n" ); document.write( "\"m%28O%29=180-%28m%28P%29%2Bm%28Q%29%29=180-89=91\"\r
\n" ); document.write( "\n" ); document.write( "Now using the Law of Sines we write:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%0D%0Ap%2Fsin%2880%29=%28870%29%2F%28sin%2891%29%29%0D%0A\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "which leads to \r
\n" ); document.write( "\n" ); document.write( "\"p=856.9\"
\n" ); document.write( "
\n" );