document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1146878>Question 1146878</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a right triangle, the length of one of the legs is 8 cm and the measure of the acute angle opposite to this leg is 50°. Find the measure of the other acute angle and the lengths of the other leg and the hypotenuse. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #768167 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=768167\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You can use law of sines<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2F+sin%28A%29+=+b+%2F+sin%28B%29+ ALIGN=MIDDLE  ALT=\"+a+%2F+sin%28A%29+=+b+%2F+sin%28B%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8+%2F+sin%28+50+%29+=+b+%2F+sin%28+90+-+50+%29+ ALIGN=MIDDLE  ALT=\"+8+%2F+sin%28+50+%29+=+b+%2F+sin%28+90+-+50+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8+%2F+.76604+=+b+%2F+.64279+ ALIGN=MIDDLE  ALT=\"+8+%2F+.76604+=+b+%2F+.64279+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10.44326+=+b+%2F+.64279+ ALIGN=MIDDLE  ALT=\"+10.44326+=+b+%2F+.64279+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+6.7128+ ALIGN=MIDDLE  ALT=\"+b+=+6.7128+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, also:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2F+sin%28+A+%29+=+c+%2F+sin%28+C+%29+ ALIGN=MIDDLE  ALT=\"+a+%2F+sin%28+A+%29+=+c+%2F+sin%28+C+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10.44326+=+c+%2F+sin%28+90+%29+ ALIGN=MIDDLE  ALT=\"+10.44326+=+c+%2F+sin%28+90+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "b = 6.7128<BR>\n" );
document.write( "c = 10.4433<BR>\n" );
document.write( "The angle opposite the other leg is 40 degrees<BR>\n" );
document.write( "------------------------------------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5E2+%2B+b%5E2+=+c%5E2+ ALIGN=MIDDLE  ALT=\"+a%5E2+%2B+b%5E2+=+c%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8%5E2+%2B+6.7128%5E2+=+10.4433%5E2+ ALIGN=MIDDLE  ALT=\"+8%5E2+%2B+6.7128%5E2+=+10.4433%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+64+%2B+45.0617+=+109.0625+ ALIGN=MIDDLE  ALT=\"+64+%2B+45.0617+=+109.0625+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+109.0617+=+109.0625+ ALIGN=MIDDLE  ALT=\"+109.0617+=+109.0625+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I think error is due to rounding off<BR>\n" );
document.write( "check the math & maybe get better accuracy<BR>\n" );
document.write( " </SPAN>\n" );
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