document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=563898>Question 563898</A>: <I><SPAN STYLE=\"word-break: break-all;\">  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #365137 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=365137\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if you are looking for the shortest distance between each of these, then i believe the table should look like this:<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "	E	NNE	NE	SE	WNW\r\n" );
document.write( "N	90	22.5	45	135	67.5\r\n" );
document.write( "ENE	22.5	45	22.5	67.5	135\r\n" );
document.write( "NW	135	67.5	90	180	22.5\r\n" );
document.write( "WSW	157.5	135	157.5	112.5	45\r\n" );
document.write( "SSW	112.5	180	157.5	67.5	90\r\n" );
document.write( "\r\n" );
document.write( "</PRE><BR>\n" );
document.write( "in some cases you had the right distance, but it was the longer distance between them rather than the shorter distance.<BR>\n" );
document.write( "the shorter distance always had to be less than 180.<BR>\n" );
document.write( "i based my number on the following diagram:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2012/jan282.jpg\" alt = \"$$$$\" /><BR>\n" );
document.write( "each interval is equal to 22.5 degrees.<BR>\n" );
document.write( "to calculate the distance between selected points, just count the number of dots<BR>\n" );
document.write( "for the shortest distance between them  to come up with the difference.<BR>\n" );
document.write( "example:<BR>\n" );
document.write( "WSW to ESE is 6 dots<BR>\n" );
document.write( "6 * 22.5 = 135 degrees.<BR>\n" );
document.write( "WSW is at 247.5 degrees<BR>\n" );
document.write( "ESE is at 112.5 degrees<BR>\n" );
document.write( "247,5 - 112.5 = 135 degrees.<BR>\n" );
document.write( "another example:<BR>\n" );
document.write( "NNW to NNE is 2 dots<BR>\n" );
document.write( "2 * 12.5 = 45 degrees<BR>\n" );
document.write( "337.5 - 22.5 = 315 degrees<BR>\n" );
document.write( "this is actually the long way around because it is greater than 180 degrees.<BR>\n" );
document.write( "to convert it to the shortest way around, subtract it from 360 degrees to get 45 degrees.<BR>\n" );
document.write( "i saw only one distance where you actually calculated it wrong.<BR>\n" );
document.write( "i believe that was SSW to SE.<BR>\n" );
document.write( "you showed 247.5 and i calculated 67.5 the short way there and 292.5 the long way.<BR>\n" );
document.write( "anyway, that's my view of it.<BR>\n" );
document.write( "you can use the chart to double check your work as well. </SPAN>\n" );
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