document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=451564>Question 451564</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How to use Law of Sines?<BR>\n" );
document.write( "Find the remaining sides and angles of the triangle, using law of sines:\r<BR>\n" );
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document.write( "A=10, A=30 degrees, B= 45 degrees </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #310511 by </B><A HREF=/tutors/aboutme.mpl?userid=Gogonati><B>Gogonati(855)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Gogonati><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=Gogonati><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=310511\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Law of Sines is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sinA%2Fa=sinB%2Fb=sinC%2Fc ALIGN=MIDDLE  ALT=\"sinA%2Fa=sinB%2Fb=sinC%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where A, B, and C are measures of \r<BR>\n" );
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document.write( "angles and a, b, and c are the lengths of sides of the triangle. \r<BR>\n" );
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document.write( "We know that A=30 degree, a=10cm, and B=45 degree. \r<BR>\n" );
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document.write( "Find first C=180-(45+30)=105 degree.\r<BR>\n" );
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document.write( "Substituting in the formula we get:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%2830%29%2F10=sin%2845%29%2Fb=sin%28105%29%2Fc ALIGN=MIDDLE  ALT=\"sin%2830%29%2F10=sin%2845%29%2Fb=sin%28105%29%2Fc\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "therefore, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=10sin%2845%29%2Fsin%2830%29=10sqrt%282%29+cm ALIGN=MIDDLE  ALT=\"b=10sin%2845%29%2Fsin%2830%29=10sqrt%282%29+cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > and \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=10sin%28105%29%2Fsin%2830%29=19.3 ALIGN=MIDDLE  ALT=\"c=10sin%28105%29%2Fsin%2830%29=19.3\"   DISABLED_style= \"max-width:90%; height:auto;\" > cm. </SPAN>\n" );
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