document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1100416>Question 1100416</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Alan sets off from Campsite A on a bearing of 100 degrees at an average speed of 5.6 kilometres per hour.<BR>\n" );
document.write( "At the same time Bob sets off from campsite B on a bearing of 70 degrees.<BR>\n" );
document.write( "After 3 hours they both arrive at campsite C.<BR>\n" );
document.write( "Who has the faster average speed and by how much? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #715102 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=715102\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Alan sets off from Campsite A on a bearing of 100 degrees at an average speed of 5.6 kilometres per hour.<BR>\n" );
document.write( " At the same time Bob sets off from campsite B on a bearing of 70 degrees.<BR>\n" );
document.write( " After 3 hours they both arrive at campsite C.<BR>\n" );
document.write( " Who has the faster average speed and by how much?  <BR>\n" );
document.write( ":<BR>\n" );
document.write( "let s = Bob's speed to C<BR>\n" );
document.write( "then<BR>\n" );
document.write( "3s = the dist from B to C<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Draw this out to form a triangle A B C, where<BR>\n" );
document.write( "A = 180-100 = 80 degrees<BR>\n" );
document.write( "B = 70 degrees<BR>\n" );
document.write( "C = 180 - 80 - 70 = 30 degrees<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Alan's dist (AC): 3 * 5.6 = 16.8 km, (opposite angle B:<BR>\n" );
document.write( "Use the law of sines<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283s%29%2Fsin%2880%29 ALIGN=MIDDLE  ALT=\"%283s%29%2Fsin%2880%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16.8%2Fsin%2870%29 ALIGN=MIDDLE  ALT=\"16.8%2Fsin%2870%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I got<BR>\n" );
document.write( "3s = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16.54%2Fsin%2870%29 ALIGN=MIDDLE  ALT=\"16.54%2Fsin%2870%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3s = 17.606<BR>\n" );
document.write( "s = 17.606/3<BR>\n" );
document.write( "s = 5.87 km/hr, about .3 km/hr faster </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );