document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1135789>Question 1135789</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This problem refers to triangle ABC.\r<BR>\n" );
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document.write( "If b = 4.7 m, c = 6.6 m, and A = 118°, find a. (Round your answer to one decimal place.)\r<BR>\n" );
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document.write( "a =              m </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #753462 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=753462\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"times\" color=\"black\" size=\"3\"><BR>\n" );
document.write( "Given Values:<BR>\n" );
document.write( "b = 4.7<BR>\n" );
document.write( "c = 6.6<BR>\n" );
document.write( "Angle A = 118 is between sides b and c<BR>\n" );
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document.write( "The placement of A between b and c is important, as it means we have a SAS (side angle side) case going on here. When it comes to SAS like this, we'll use the Law of Cosines.\r<BR>\n" );
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document.write( "Use the Law of Cosines to solve for side 'a'<BR>\n" );
document.write( "a^2 = b^2 + c^2 - 2*b*c*cos(A)<BR>\n" );
document.write( "a^2 = 4.7^2 + 6.6^2 - 2*4.7*6.6*cos(118)<BR>\n" );
document.write( "a^2 = 22.09 + 43.56 - 62.04*cos(118)<BR>\n" );
document.write( "a^2 = 22.09 + 43.56 - 62.04*(-0.469471562785891)<BR>\n" );
document.write( "a^2 = 22.09 + 43.56 - (-29.1260157552366)<BR>\n" );
document.write( "a^2 = 22.09 + 43.56 + 29.1260157552366<BR>\n" );
document.write( "a^2 = 94.7760157552367<BR>\n" );
document.write( "a = sqrt(94.7760157552367)<BR>\n" );
document.write( "a = 9.7352974148321\r<BR>\n" );
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document.write( "Rounded to one decimal place, the final answer is <font color=red>a = 9.7</font><BR>\n" );
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