document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=717432>Question 717432</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two ships leave San Francisco at the same time. One travels N 40 W at a speed of 20 knots. The other travels S 10 W at a speed of 15 knots. How far apart are they after 11 hours? ( 1 knot= 1 nautical mile per hour) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #440306 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=440306\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The distance from starting point of the mostly northward ship is 20*t, and the distance from starting point of the mostly southward ship is 15*t.  If my understanding of the directions are correct, the angle of the two distance sides is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%2B80 ALIGN=MIDDLE  ALT=\"50%2B80\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees.  N 40 W may be 50 degrees northward from West and S 10 W may be 80 degrees southward from West.  So I guess, the angle at starting point is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%2B80=130 ALIGN=MIDDLE  ALT=\"50%2B80=130\"   DISABLED_style= \"max-width:90%; height:auto;\" > degrees.\r<BR>\n" );
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document.write( "A figure should be shown, but that is a long process here for me, yet I can feel a use for Law of Cosines.  Using D for how far apart at 11 hours, the other side of the triangle, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E2=%2820t%29%5E2%2B%2815t%29%5E2-2%2820t%29%2815t%29cos%28130%29 ALIGN=MIDDLE  ALT=\"D%5E2=%2820t%29%5E2%2B%2815t%29%5E2-2%2820t%29%2815t%29cos%28130%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and we want to finally let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=11 ALIGN=MIDDLE  ALT=\"t=11\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E2=400t%5E2%2B225t%5E2-600t%5E2%2Acos%28130%29 ALIGN=MIDDLE  ALT=\"D%5E2=400t%5E2%2B225t%5E2-600t%5E2%2Acos%28130%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E2=625t%5E2-600t%5E2%2Acos%28130%29 ALIGN=MIDDLE  ALT=\"D%5E2=625t%5E2-600t%5E2%2Acos%28130%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E2=25t%5E2%2825-24%2Acos%28130%29%29 ALIGN=MIDDLE  ALT=\"D%5E2=25t%5E2%2825-24%2Acos%28130%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D%5E2=%2825t%5E2%29%2840.4269%29 ALIGN=MIDDLE  ALT=\"D%5E2=%2825t%5E2%29%2840.4269%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D=5t%2Asqrt%2840.4269%29 ALIGN=MIDDLE  ALT=\"D=5t%2Asqrt%2840.4269%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28D=5%2At%2A%286.358%29%29 ALIGN=MIDDLE  ALT=\"highlight%28D=5%2At%2A%286.358%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and LET <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=11 ALIGN=MIDDLE  ALT=\"t=11\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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