document.write( "Question 1204459: Find the length of side x. Round to the nearest tenth.
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Algebra.Com's Answer #840724 by mccravyedwin(407)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "For enrichment purposes, here's an alternate way to do the problem.  It's a\r\n" );
document.write( "little longer, but you could do it this way if you forgot the law of sines.\r\n" );
document.write( "Draw the altitude h from the vertex of the 114o angle. That splits the 114o angle\r\n" );
document.write( "into the complement of 21o or 90o-21o=69o, and 114o-69o=45o. It also splits x, making\r\n" );
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document.write( "x = p+q.\r\n" );
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document.write( "Then using cosine = adjacent/hypotenuse in the rt. triangle on the left,\r\n" );
document.write( "\"p%2F8.6=cos%2821%5Eo%29\"\r\n" );
document.write( "\"p=8.6%2Acos%2821%5Eo%29\"\r\n" );
document.write( "\"p=8.028791668\"\r\n" );
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document.write( "Then using sine = opposite/hypotenuse in the same rt. triangle,\r\n" );
document.write( "\"h%2F8.6=sin%2821%5Eo%29\"\r\n" );
document.write( "\"h=8.6%2Asin%2821%5Eo%29\"\r\n" );
document.write( "\"h=3.081964366\"\r\n" );
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document.write( "Since the rt. triangle on the right has a 45o angle, it is \r\n" );
document.write( "isosceles, so q = h = 3.081964366.  Then\r\n" );
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document.write( "x = p + q = 8.028791668 + 3.081964366 = 11.11075603.\r\n" );
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document.write( "x rounds to 11.1\r\n" );
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document.write( "Edwin

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