document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=312879>Question 312879</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2 planes leave an airport at the same time. one flies east at 600 km/h, the toher flies northwest at 400 km/h. how far apart will they be 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 #223711 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=223711\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "The paths of the two aircraft are <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 135^\circ\"> apart.  So we have a triangle with sides of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 600\ \times\ 2\ =\ 1200\"> km and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 400\ \times\ 2\ =\ 800\"> km and an included angle of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 135^\circ\">.\r<BR>\n" );
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document.write( "Use the Law of Cosines:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ c\ =\ \sqrt{a^2\ +\ b^2\ -\ 2ab\cos{C}}\">\r<BR>\n" );
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document.write( "Since similar triangles have proportional sides, to save some arithmetic difficulties, I recommend using 12 and 8 for the measures of the sides and then multiplying the result by 100 to re-scale your triangle.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ c\ =\ \sqrt{12^2\ +\ 8^2\ -2(12)(8)(-\frac{\sqrt{2}}{2})}\">\r<BR>\n" );
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document.write( "You can run a calculator as well as I can -- the rest is up to you.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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