document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=935016>Question 935016</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Identify the values of the variables. Give your answers in simplest radical form. \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #568062 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=568062\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The Law of Sines (or Sine Rule) is very useful for solving triangles:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fsin%28A%29=b%2Fsin%28B%29=c%2Fsin%28C%29 ALIGN=MIDDLE  ALT=\"a%2Fsin%28A%29=b%2Fsin%28B%29=c%2Fsin%28C%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "you are given:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=x ALIGN=MIDDLE  ALT=\"a=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=3sqrt%286%29 ALIGN=MIDDLE  ALT=\"b=3sqrt%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, angle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=60 ALIGN=MIDDLE  ALT=\"B=60\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=y ALIGN=MIDDLE  ALT=\"c=y\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "=> we also know that angle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=30 ALIGN=MIDDLE  ALT=\"A=30\"   DISABLED_style= \"max-width:90%; height:auto;\" > and angle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=90 ALIGN=MIDDLE  ALT=\"C=90\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fsin%28A%29=b%2Fsin%28B%29 ALIGN=MIDDLE  ALT=\"a%2Fsin%28A%29=b%2Fsin%28B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Fsin%2830%29=3sqrt%286%29%2Fsin%2860%29 ALIGN=MIDDLE  ALT=\"x%2Fsin%2830%29=3sqrt%286%29%2Fsin%2860%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%281%2F2%29=%283sqrt%282%29sqrt%283%29%29%2Fsqrt%283%29%2F2 ALIGN=MIDDLE  ALT=\"x%2F%281%2F2%29=%283sqrt%282%29sqrt%283%29%29%2Fsqrt%283%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%281%2F2%29=%283sqrt%282%29cross%28sqrt%283%29%29%29%2Fcross%28sqrt%283%29%29%2F2 ALIGN=MIDDLE  ALT=\"x%2F%281%2F2%29=%283sqrt%282%29cross%28sqrt%283%29%29%29%2Fcross%28sqrt%283%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=6sqrt%282%29 ALIGN=MIDDLE  ALT=\"2x=6sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Fsin%2830%29=y%2Fsin%2890%29 ALIGN=MIDDLE  ALT=\"x%2Fsin%2830%29=y%2Fsin%2890%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3sqrt%282%29%2F%281%2F2%29=y%2F1 ALIGN=MIDDLE  ALT=\"3sqrt%282%29%2F%281%2F2%29=y%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=6sqrt%282%29%29 ALIGN=MIDDLE  ALT=\"highlight%28y=6sqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "or you can use law of tan:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3sqrt%286%29%2Fsqrt%283%29 ALIGN=MIDDLE  ALT=\"x=3sqrt%286%29%2Fsqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%283sqrt%282%29sqrt%283%29%29%2Fsqrt%283%29 ALIGN=MIDDLE  ALT=\"x=%283sqrt%282%29sqrt%283%29%29%2Fsqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%283sqrt%282%29cross%28sqrt%283%29%29%29%2Fcross%28sqrt%283%29%29 ALIGN=MIDDLE  ALT=\"x=%283sqrt%282%29cross%28sqrt%283%29%29%29%2Fcross%28sqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now use Pythagorean theorem to find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2=%283sqrt%282%29%29%5E2%2B%283sqrt%286%29%29%5E2 ALIGN=MIDDLE  ALT=\"y%5E2=%283sqrt%282%29%29%5E2%2B%283sqrt%286%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2=9%2A2%2B9%2A6 ALIGN=MIDDLE  ALT=\"y%5E2=9%2A2%2B9%2A6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2=18%2B54 ALIGN=MIDDLE  ALT=\"y%5E2=18%2B54\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=sqrt%2872%29 ALIGN=MIDDLE  ALT=\"y=sqrt%2872%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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