document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=141838>Question 141838</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi there! I need some step by step help with law of sines solving two triangles\r<BR>\n" );
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document.write( "Here's my question from my worksheet:\r<BR>\n" );
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document.write( "Given triangle ABC with a=13, b=14 and A=35degrees find c. Round your answer to two decimal places. The answer for that is c= 21.69 OR 1.24\r<BR>\n" );
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document.write( "I worked out the problem and got c= 21.69, I just don't know how to get 1.24! <BR>\n" );
document.write( "Could you show me step by step how to get 1.24! Thanks a lot!! =] </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #103348 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=103348\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given triangle ABC with a=13, b=14 and A=35degrees find c. <BR>\n" );
document.write( "Round your answer to two decimal places. <BR>\n" );
document.write( "The answer for that is c= 21.69 OR 1.24 <BR>\n" );
document.write( "I worked out the problem and got c= 21.69, <BR>\n" );
document.write( "I just don't know how to get 1.24! <BR>\n" );
document.write( "Could you show me step by step how to get 1.24! <BR>\n" );
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document.write( "Law of Sines:<BR>\n" );
document.write( "SinB/14 = Sin35/13<BR>\n" );
document.write( "SinB = (14/13)sin(35)=0.6176977<BR>\n" );
document.write( "B = sin^-1(0.6176977)= 38.148 degrees<BR>\n" );
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document.write( "Then Angle C = 180-(35+38.148) = 106.85<BR>\n" );
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document.write( "Solving for \"c\":<BR>\n" );
document.write( "c/sinC = 13/sin(35)<BR>\n" );
document.write( "c = (sin106.85)[13/sin(35)]<BR>\n" );
document.write( "c = 21.69<BR>\n" );
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document.write( "How to get c = 1.24!<BR>\n" );
document.write( "B = sin^-1(0.6176977) = 180-38.148 = 141.852<BR>\n" );
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document.write( "Then Angle C = 180-(35+141.852) = 3.148 degrees<BR>\n" );
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document.write( "solving for \"c\"<BR>\n" );
document.write( "c/sinC = 13/sin(35)<BR>\n" );
document.write( "c = sin(3.148)[13/sin(35)]<BR>\n" );
document.write( "c = 1.244645...<BR>\n" );
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document.write( "So you see the inverse sine of (0.6176977) could have two values<BR>\n" );
document.write( "and the resulting triangles would be different.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
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