document.write( "Question 592515: In the triangle shown above A = 45°, a = 15 cm, and
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document.write( "c = 8 cm. What is the approximate measure of C?
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Algebra.Com's Answer #375981 by jim_thompson5910(35256) ![]() You can put this solution on YOUR website! Use the law of sines.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "sin(A)/a = sin(C)/c\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "sin(45)/15 = sin(C)/8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8*sin(45)/15 = sin(C)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8*(sqrt(2)/2)/15 = sin(C)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(4*sqrt(2))/15 = sin(C)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "sin(C) = (4*sqrt(2))/15\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "C = arcsin( (4*sqrt(2))/15 )\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "C = 22.155626\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the angle C is roughly 22.155626 degrees \n" ); document.write( " |