document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=809507>Question 809507</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Entebbe, Uganda and Sasak, Sumatra, are on the equator. Sasak is 4700 mi east of Entebee (longitude 32.5 E). Find the longitude of Sasak. \r<BR>\n" );
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document.write( "Please walk me through the steps to get an answer. <BR>\n" );
document.write( "I'm more concerned with the process than the result. \r<BR>\n" );
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document.write( "Thank you.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #487645 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=487645\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You need some information about Earth's dimensions, which may have been given in class or in your textbook. If you were given some number, it would be wise to use <BR>\n" );
document.write( "the number given.<BR>\n" );
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document.write( "What I found online is as follows:<BR>\n" );
document.write( "Earth's circumference at the equator is 24,900 miles.<BR>\n" );
document.write( "Earth's diameter is 7,900 miles (12,760 km) at the equator.<BR>\n" );
document.write( "Earth's radius is 3,950 miles (6,380 km) at the equator.<BR>\n" );
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document.write( "The circumference of Earth at the equator is divided into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360%5Eo ALIGN=MIDDLE  ALT=\"360%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > to determine longitude.<BR>\n" );
document.write( "By definition, all places along the shortest curve from a point in the equator to a pole have the same longitude.<BR>\n" );
document.write( "The <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%5Eo ALIGN=MIDDLE  ALT=\"0%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > for longitude was arbitrarily set at the Greenwich observatory in England, and longitude is measured East and West from there.<BR>\n" );
document.write( " <BR>\n" );
document.write( "If you were given the radius, or the diameter you can find the circumference as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=circumference=2%2Api%2Aradius ALIGN=MIDDLE  ALT=\"circumference=2%2Api%2Aradius\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=circumference=pi%2Adiameter ALIGN=MIDDLE  ALT=\"circumference=pi%2Adiameter\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The difference in longitude between two places on the equator, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be found from the angle and distance proportion<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F360%5Eo=distance%2Fcircumference ALIGN=MIDDLE  ALT=\"x%2F360%5Eo=distance%2Fcircumference\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "With the information I found, the difference in longitude between Sasak and Entebbe is given by<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F360%5Eo=4700%2F24900 ALIGN=MIDDLE  ALT=\"x%2F360%5Eo=4700%2F24900\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%284700%2F24900%29%2A360%5Eo ALIGN=MIDDLE  ALT=\"x=%284700%2F24900%29%2A360%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=67.952%5Eo ALIGN=MIDDLE  ALT=\"x=67.952%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So Sasak is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=68.0%5Eo ALIGN=MIDDLE  ALT=\"68.0%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > (rounding) east of Entebbe,<BR>\n" );
document.write( "and its longitude must be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32.5%5Eo ALIGN=MIDDLE  ALT=\"32.5%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E%2B68.0%5Eo ALIGN=MIDDLE  ALT=\"E%2B68.0%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E=100.5%5Eo ALIGN=MIDDLE  ALT=\"E=100.5%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E ALIGN=MIDDLE  ALT=\"E\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since that is less than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%5Eo ALIGN=MIDDLE  ALT=\"180%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > , it counts as longitude <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28100.5E%29 ALIGN=MIDDLE  ALT=\"highlight%28100.5E%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "If it had been more than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%5Eo ALIGN=MIDDLE  ALT=\"180%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > , we would have to calculate the smaller angle to longitude zero, and it would be W instead of E.<BR>\n" );
document.write( "For example, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=182%5Eo ALIGN=MIDDLE  ALT=\"182%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > east of longitude zero, is really<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360%5Eo-182%5Eo=178%5Eo ALIGN=MIDDLE  ALT=\"360%5Eo-182%5Eo=178%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > west of longitude zero, or 178W. </SPAN>\n" );
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