document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1136456>Question 1136456</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You bike 35 miles from A to B (due south) and then walk 12 miles from B to C at a bearing of N 35 E.  To go back to A (from C) you catch a ride and your bearing is N 40 W. what is the total distance you traveled (bike + walk + ride).<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #754321 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=754321\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You bike 35 miles from A to B (due south) and then walk 12 miles from B to C at a bearing of N 35 E.<BR>\n" );
document.write( " To go back to A (from C) you catch a ride and your bearing is N 40 W.<BR>\n" );
document.write( " what is the total distance you traveled (bike + walk + ride).<BR>\n" );
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document.write( "Draw this out and we have, (do we really need to know the bearing of C to A?)<BR>\n" );
document.write( "a = 12 mi<BR>\n" );
document.write( "B = 35 degrees<BR>\n" );
document.write( "b = dist from C to A, riding in the car<BR>\n" );
document.write( "c = 35 mi<BR>\n" );
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document.write( "Use the law of cosines<BR>\n" );
document.write( "b^2 = a^2 + c^2 - 2(ac)*cos(B)<BR>\n" );
document.write( "b^2 = 12^2 + 35^2 - 2(12*35)*cos(35)<BR>\n" );
document.write( "b^2 = 144 + 1225 -2(420)*.819<BR>\n" );
document.write( "b^2 = 1369 - 688.09<BR>\n" );
document.write( "b^2 = 680.91<BR>\n" );
document.write( "b = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28680.91%29 ALIGN=MIDDLE  ALT=\"sqrt%28680.91%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b = 26.09 mi from C to A, riding<BR>\n" );
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document.write( "Total dist traveled 35 + 12 + 26.09 = 73.09 mi<BR>\n" );
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