document.write( "Question 1204461: Find the measure of angle x, if possible. Notice that x is an obtuse angle. Round to the nearest tenth. (If not possible, enter IMPOSSIBLE.)
\n" ); document.write( "https://www.webassign.net/waplots/c/5/1cba6911d1f6486f328dd2e913c145.gif \n" ); document.write( "
Algebra.Com's Answer #840726 by mccravyedwin(408)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "By the law of sines,\r\n" );
document.write( "\r\n" );
document.write( "\"30%5E%22%22%2Fsin%28x%5E%22%22%29\"\"%22%22=%22%22\"\"25%5E%22%22%2Fsin%2854%5Eo%29\"\r\n" );
document.write( "\r\n" );
document.write( "Cross-multiply:\r\n" );
document.write( "\r\n" );
document.write( "\"25%2Asin%28x%5E%22%22%29\"\"%22%22=%22%22\"\"30%2Asin%2854%5Eo%29\"\r\n" );
document.write( "\r\n" );
document.write( "\"sin%28x%5E%22%22%29\"\"%22%22=%22%22\"\"30%2Asin%2854%5Eo%29%2F25\"\r\n" );
document.write( "\r\n" );
document.write( "\"sin%28x%29%5E%22%22\"\"%22%22=%22%22\"\"0.9708203932\"\r\n" );
document.write( "\r\n" );
document.write( "Notice that when you use sin-1, your calculator gives \r\n" );
document.write( "you 76.12480522o, but remember that the sine is positive\r\n" );
document.write( "in QI and QII, and you are warned that x is a QII angle \r\n" );
document.write( "because it is obtuse, so 76.12480522o is the reference\r\n" );
document.write( "angle of x, so we subtract: \r\n" );
document.write( "\r\n" );
document.write( "180o-76.12480522o = 103.875194876o, which rounds to 103.9o.\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( " \n" ); document.write( "
\n" );