document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184189>Question 1184189</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me to solve this \r<BR>\n" );
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document.write( "Find the distance on the surface of the Earth from a point  having latitude 38.40°N to the closest point on the equator . Assume that the Earth is a sphere of radius 3960 miles. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #814728 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52794)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=814728\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Please help me to solve this<BR>\n" );
document.write( "Find the distance on the surface of the Earth from a point having latitude 38.40°N <BR>\n" );
document.write( "to the closest point on the equator . Assume that the Earth is a sphere of radius 3960 miles.<BR>\n" );
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document.write( "This problem is to estimate / evaluate the length of the arc of the angular measure of 38.40 degrees of the sphere / (on the sphere)<BR>\n" );
document.write( "of the radius of &nbsp;3960 &nbsp;miles.\r<BR>\n" );
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document.write( "It is the same as to evaluate the length of the arc of this angular measure of the great circle through the Earth poles.\r<BR>\n" );
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document.write( "So, you take the whole circumference of the great circle  &nbsp;&nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Api%2AR ALIGN=MIDDLE  ALT=\"2%2Api%2AR\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A3.14159%2A3960 ALIGN=MIDDLE  ALT=\"2%2A3.14159%2A3960\"   DISABLED_style= \"max-width:90%; height:auto;\" >  &nbsp;miles\r<BR>\n" );
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document.write( "and multiply it by the factor of  &nbsp;&nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=38.40%2F360 ALIGN=MIDDLE  ALT=\"38.40%2F360\"   DISABLED_style= \"max-width:90%; height:auto;\" >  &nbsp;&nbsp;to account for the arc as a part of the great circle.\r<BR>\n" );
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document.write( "The final formula is  \r<BR>\n" );
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document.write( "    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;the distance on the Earth surface = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A3.14159%2A3960%2A%2838.40%2F360%29 ALIGN=MIDDLE  ALT=\"2%2A3.14159%2A3960%2A%2838.40%2F360%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > &nbsp;miles.\r<BR>\n" );
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document.write( "Now use your calculator and get the &nbsp;&nbsp;<U>ANSWER</U>  \r<BR>\n" );
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document.write( "    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;the distance on the Earth surface = 2654  miles   &nbsp;&nbsp;&nbsp;&nbsp;(rounded to the closest mile).\r<BR>\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Notice that I used the angular measure of the arc &nbsp;38.40°N \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;literally as it is presented in your post: &nbsp;&nbsp;\"thirty eight and &nbsp;40/100 &nbsp;of the degree\".\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;It is not &nbsp;\"thirty eight degrees and &nbsp;40 &nbsp;minutes\", &nbsp;as some other person could expect.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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