document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=253723>Question 253723</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the latitude of Chicago is about 42 degrees and the radius of the earth is about 4000 miles, how far is Chicago from the equator? (using pi=3.1416) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #186108 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=186108\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you take a vertical cross section of the earth through chicago, you have a circle.\r<BR>\n" );
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document.write( "The center of the earth is the center of the circle.\r<BR>\n" );
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document.write( "The angle formed from the center of the circle to chicago, and from the center of the circle to the equator is equal to 42 degrees.\r<BR>\n" );
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document.write( "The surface of that circle is the circumference of the earth.\r<BR>\n" );
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document.write( "the radius of the circle is 4000 miles.\r<BR>\n" );
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document.write( "the circumference of the circle is equal to 2 * pi * 4000 = 8000 * pi = 8000 * 3.1416 = 25132.8 miles.\r<BR>\n" );
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document.write( "The distance from chicago to the equator is equal to 42/360 * 25132.8 miles = 2932.16 miles.\r<BR>\n" );
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document.write( "I checked with a distance calculator from the surface of the earth and got 2869 miles.\r<BR>\n" );
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document.write( "That calculator shows the latitude of chicago to be 41.49 degrees north.\r<BR>\n" );
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document.write( "I replaced 41.49N with 42N and got 2904 miles.\r<BR>\n" );
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document.write( "That's even closer so I'm pretty confident that I did it right.\r<BR>\n" );
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document.write( "That calculator can be found at the following link.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.wfu.edu/biology/albatross/gcircle/calcfull.html\" target = \"_blank\">http://www.wfu.edu/biology/albatross/gcircle/calcfull.html</a>\r<BR>\n" );
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document.write( "this problem assumes the earth is perfectly round which it is not so real world calculations will be different after taking that into account.\r<BR>\n" );
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