document.write( "Question 207286: 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? ( use pi= 3.1416)
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #854650 by ikleyn(53937) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "If the latitude of Chicago is about 42 degrees and the radius of the earth is about 4000 miles,
\n" ); document.write( "how far is Chicago from the equator? ( use pi= 3.1416)
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "        The solution and the answer in the post by @HyperBrain are incorrect.\r
\n" ); document.write( "\n" ); document.write( "        His method is wrong, his formula is irrelevant.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "        See my correct solution below.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "In this problem, the distance from the equator to Chicago is the length of the arc of 42 degrees\r\n" );
document.write( "on a circle of the radius 4000 miles.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, apply the standard formula for the arc length via the radius and the central angle\r\n" );
document.write( "\r\n" );
document.write( "    arc length =  =  = 2932.16 miles.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  The distance from Chicago to equator is about 2932 miles.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved correctly.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );