document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1037267>Question 1037267</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two paths diverge at a 44 degree angle. Two mountain bike riders take separate routes at 6.5 km/hr and 10 km/hr. How far apart are they after 2 hours?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #651954 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=651954\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi there,<BR>\n" );
document.write( "Using Cosine Rule:<BR>\n" );
document.write( "a^2 = b^2 + c^2 - 2bc Cos A<BR>\n" );
document.write( "Setting up a triangle ABC<BR>\n" );
document.write( "Angle A = 44 degrees.<BR>\n" );
document.write( "Side b = 13 km (2hrs x 6.5 km/hr)<BR>\n" );
document.write( "Side c = 20 km (2hrs x 10 km/hr)<BR>\n" );
document.write( "Side a is the distance between them<BR>\n" );
document.write( "after 2 hours.<BR>\n" );
document.write( "a^2 = b^2 + c^2 - 2bc Cos A<BR>\n" );
document.write( "a^2 = 13^2 + 20^2 - 2(13 x 20 x Cos(44))<BR>\n" );
document.write( "a^2 = 194.94 (2 decimal places)<BR>\n" );
document.write( "a = &#8730;194.9<BR>\n" );
document.write( "a = 13.96 km (2 decimal places)<BR>\n" );
document.write( "This is how far they are apart after 2 hours.<BR>\n" );
document.write( "Hope this helps :-) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );