document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=83270>Question 83270</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose you travel north for 35 kilometers then travel east 65 kilometers.  How far are you from your starting point?  North and east can be considered the directions of the y- and x-axis respectively.  Round to the tenth's place. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59897 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=59897\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a Pythagorean theorem problem.  Starting at the origin if you go up the y-axis (north) <BR>\n" );
document.write( "35 units and then turn to the right and go horizontally to the right (east) 65 units you <BR>\n" );
document.write( "have formed a right angle with two legs of 35 and 65 km respectively.  The distance from<BR>\n" );
document.write( "the point (65, 35) to the origin is the distance you are from the starting point.  This<BR>\n" );
document.write( "forms a right triangle with vertices at (0,0), (0,35), and (65, 35).  <BR>\n" );
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document.write( "By the Pythagorean theorem if you square the two legs and add the squares, the result will<BR>\n" );
document.write( "be the square of the distance from the origin to final point (65, 35).  In equation form<BR>\n" );
document.write( "this is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35%5E2+%2B+65%5E2+=+d%5E2 ALIGN=MIDDLE  ALT=\"35%5E2+%2B+65%5E2+=+d%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "where d is the distance the problem asks for.  Doing the squares results in:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1225+%2B+4225+=+d%5E2 ALIGN=MIDDLE  ALT=\"1225+%2B+4225+=+d%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Adding the two terms on the left side results in:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5450+=+d%5E2 ALIGN=MIDDLE  ALT=\"5450+=+d%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Taking the square root of both sides gives:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+73.8241153 ALIGN=MIDDLE  ALT=\"d+=+73.8241153\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Rounding this result to the nearest tenth makes the answer:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+73.8 ALIGN=MIDDLE  ALT=\"d+=+73.8\"   DISABLED_style= \"max-width:90%; height:auto;\" > km<BR>\n" );
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document.write( "So after going north 35 km then east 65 km makes you 73.8 km from the starting point.<BR>\n" );
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document.write( "Hope this helps you to understand the problem and how you might be able solve it.<BR>\n" );
document.write( " </SPAN>\n" );
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