document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=295678>Question 295678</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two planes leave an airport at the same time, one flying due west at 500km/h and the other flying due southeast at 300km/h. What is the distance between the planes two hours later? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #213230 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=213230\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two planes leave an airport at the same time, one flying due west at 500km/h and the other flying due southeast at 300km/h. What is the distance between the planes two hours later?<BR>\n" );
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document.write( "From their starting point, one plane is 1000 km away, the other is 600 km away.<BR>\n" );
document.write( "The angle between their paths is 135 degs<BR>\n" );
document.write( "s = distance between the planes<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5E2+=+1000%5E2+%2B+600%5E2+-+2%2A1000%2A600%2Acos%28135%29 ALIGN=MIDDLE  ALT=\"s%5E2+=+1000%5E2+%2B+600%5E2+-+2%2A1000%2A600%2Acos%28135%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5E2+=+1360000+%2B+1200000%2Asqrt%282%29%2F2 ALIGN=MIDDLE  ALT=\"s%5E2+=+1360000+%2B+1200000%2Asqrt%282%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5E2+=+1360000+%2B+600000sqrt%282%29 ALIGN=MIDDLE  ALT=\"s%5E2+=+1360000+%2B+600000sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "s =~ 1486.11 km<BR>\n" );
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document.write( "PS   \"due southeast\" is not a valid navigation term.<BR>\n" );
document.write( "It's \"due east, due north\", etc, only the 4 cardinal compass points.<BR>\n" );
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