document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1083532>Question 1083532</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A woman walks 20 m west, 100 m south, 8 m west, and then 4 m north. How far is she from her starting point? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #697533 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=697533\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"times\" size=\"4\"><BR>\n" );
document.write( "Answer: <font color=red>100 meters</font><BR>\n" );
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document.write( "Note: this is a page edit. My last answer was incorrect. I realized I misread the problem. The solution has been corrected now.\r<BR>\n" );
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document.write( "Explanation:\r<BR>\n" );
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document.write( "Let point A be at the origin. <BR>\n" );
document.write( "The origin is the point (0,0) which is where the x and y axis meet.<BR>\n" );
document.write( "This is where the woman will start.\r<BR>\n" );
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document.write( "She walks 20 meters west, so she ends up at (-20,0) which is marked by point B.\r<BR>\n" );
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document.write( "Then she walks 100 meters south ending up at point C (-20,-100)\r<BR>\n" );
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document.write( "After that, she walks 8 meters west to get to D = (-28,-100). (This is where my initial error was made, but it has been fixed now. Point E has been updated as well)\r<BR>\n" );
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document.write( "Finally, she walks 4 meters north to end up at point E, which is located at (-28,-96)\r<BR>\n" );
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document.write( "Let's draw all this out<BR>\n" );
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document.write( "The coordinates of each point are<BR>\n" );
document.write( "A = (0, 0)<BR>\n" );
document.write( "B = (-20, 0)<BR>\n" );
document.write( "C = (-20, -100)<BR>\n" );
document.write( "D = (-28, -100)<BR>\n" );
document.write( "E = (-28, -96)\r<BR>\n" );
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document.write( "The goal is to find the distance from A to E. <BR>\n" );
document.write( "This is the same as finding the length of segment AE (or segment EA).\r<BR>\n" );
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document.write( "We use the distance formula. The two points used are<BR>\n" );
document.write( "(x1,y1) = (0,0) ... point A<BR>\n" );
document.write( "(x2,y2) = (-28,-96) ... point E\r<BR>\n" );
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document.write( "So we have x1 = 0, y1 = 0, x2 = -28, and y2 = -96, which means:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+sqrt%28%28x%5B2%5D-x%5B1%5D%29%5E2%2B%28y%5B2%5D-y%5B1%5D%29%5E2%29 ALIGN=MIDDLE  ALT=\"d+=+sqrt%28%28x%5B2%5D-x%5B1%5D%29%5E2%2B%28y%5B2%5D-y%5B1%5D%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+sqrt%28%28-28-0%29%5E2%2B%28-96-0%29%5E2%29 ALIGN=MIDDLE  ALT=\"d+=+sqrt%28%28-28-0%29%5E2%2B%28-96-0%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in the values mentioned above\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d+=+100 ALIGN=MIDDLE  ALT=\"d+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The exact distance is 100 meters.</font> </SPAN>\n" );
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