document.write( "Question 145787: Triangle ABC. Angle C=90, Suppose line a=6 and line c=8; find the measure of angle A. \n" ); document.write( "
Algebra.Com's Answer #106394 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
We basically have this triangle set up:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Since the opposite side is a=6 and the hypotenuse is c=8, this means that\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"sin%28A%29=opposite%2Fhypotenuse=6%2F8=3%2F4\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So \"sin%28A%29=3%2F4\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A=arcsin%283%2F4%29\" Take the arcsine of both sides\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A=48.59038\" Evaluate the right side\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the measure of angle A is approximately 48.59 degrees\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );