document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183252>Question 1183252</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man walks due west for 4km.He then changes direction and walks on a bearing of 197°until he is south-west of his starting point.How far is he then from his starting point? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #813471 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=813471\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Draw this:<BR>\n" );
document.write( "This is an obtuse triangle with the first leg (west) 4 km<BR>\n" );
document.write( "The second leg is unknown but the angle is 107 degrees, 90 for a track of 180 and 107 deg for a track of 197 deg.<BR>\n" );
document.write( "The angle between where he started and the route back is 45 degrees, since he is southwest of where he started.  <BR>\n" );
document.write( "Use the law of Sines<BR>\n" );
document.write( "sin 107/long side (answer)=sin 28/4 km<BR>\n" );
document.write( "so long side=4*sin 107/sin 28<BR>\n" );
document.write( "=8.15 km  </SPAN>\n" );
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