document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=133473>Question 133473</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0028244389/algebrahomeworkh>Geometry Applications and connections</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I need help understanding how to figure out a problem using the law of sines using only one angle measurement, 55, and two side measurements, 9 and 11. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #97652 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=97652\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The law of sines only works for two sides and one angle if the angle is one of the non-enclosed angle.  See diagram.  If the 2 sides are a and b, and the angle is angle C, then the Law of Sines won't help you.   But if you are given sides a and b and then either angle A or angle B, the Law of Sines works just fine.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-5%2C5%2C-5%2C5%2C%0D%0Atriangle%28-4%2C-2%2C-.5%2C3%2C3.5%2C-1%29%2C%0D%0Alocate%28-4.3%2C-2.3%2CA%29%2C%0D%0Alocate%28-.5%2C3.5%2CC%29%2C%0D%0Alocate%283.6%2C-1.1%2CB%29%2C%0D%0Alocate%28-2.8%2C1%2Cb%29%2C%0D%0Alocate%281.8%2C1.5%2Ca%29%2C%0D%0Alocate%28-.3%2C-1.9%2Cc%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let's say that the angle is angle A, side a is 9 and side b is 11.\r<BR>\n" );
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document.write( "The law of sines is:\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( "<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;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2Fsin%2855%29=11%2Fsin%28B%29 ALIGN=MIDDLE  ALT=\"9%2Fsin%2855%29=11%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=sin%28B%29=%2811%2Asin%2855%29%29%2F9 ALIGN=MIDDLE  ALT=\"sin%28B%29=%2811%2Asin%2855%29%29%2F9\"   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=B=arcsin%28%2811%2Asin%2855%29%29%2F9%29 ALIGN=MIDDLE  ALT=\"B=arcsin%28%2811%2Asin%2855%29%29%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=180-A-B ALIGN=MIDDLE  ALT=\"C=180-A-B\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and you can calculate c by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=%28a%2Asin%28C%29%29%2Fsin%28A%29 ALIGN=MIDDLE  ALT=\"c=%28a%2Asin%28C%29%29%2Fsin%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I'll let you take care of the arithmetic. </SPAN>\n" );
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