document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=798196>Question 798196</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An explorer hikes 4 miles due east, 7 miles due south, then 3 miles due east, then 1 mile due north, and finally 2 miles due west. How far is he from his original position? (This is a pythagorean theorem problem) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #482118 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=482118\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here's a map showing the explorer's path.<BR>\n" );
document.write( "Each square in the grid is 1 mile by 1 mile.<BR>\n" );
document.write( "The explorer goes along the red arrow path from point A to point B.<BR>\n" );
document.write( "The distance (as the crow flies) from A to B is the hypotenuse (AB) of the green right triangle ABC.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C1%2C11%2C1%2C11%2C%0D%0Agrid%281%29%2Cblue%28arrow%288.5%2C4.5%2C8.5%2C7.5%29%29%2Clocate%288.4%2C8%2CN%29%2C%0D%0Agreen%28rectangle%282.3%2C3.3%2C2%2C3%29%29%2Cgreen%28line%282%2C9%2C7%2C3%29%29%2C%0D%0Agreen%28line%287%2C3%2C2%2C3%29%29%2Cgreen%28line%282%2C9%2C2%2C3%29%29%2C%0D%0Ared%28circle%282%2C9%2C0.15%29%29%2Cred%28line%282.15%2C9%2C6%2C9%29%29%2Cred%28arrow%282.15%2C9%2C6%2C9%29%29%2C%0D%0Ared%28line%286%2C9%2C6%2C2%29%29%2Cred%28arrow%286%2C6%2C6%2C2%29%29%2C%0D%0Ared%28line%286%2C2%2C9%2C2%29%29%2Cred%28arrow%286%2C2%2C9%2C2%29%29%2C%0D%0Ared%28line%289%2C2%2C9%2C3%29%29%2Cred%28arrow%289%2C2%2C9%2C3%29%29%2C%0D%0Ared%28line%289%2C3%2C7%2C3%29%29%2Cred%28arrow%289%2C3%2C7.15%2C3%29%29%2C%0D%0Ared%28circle%287%2C3%2C0.15%29%29%2Clocate%281.7%2C3%2CC%29%2C%0D%0Alocate%281.7%2C9%2Cred%28A%29%29%2Clocate%287.1%2C2.9%2Cred%28B%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AC=6 ALIGN=MIDDLE  ALT=\"AC=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=CB=5 ALIGN=MIDDLE  ALT=\"CB=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB%5E2=6%5E2%2B5%5E2=36%2B25=61 ALIGN=MIDDLE  ALT=\"AB%5E2=6%5E2%2B5%5E2=36%2B25=61\"   DISABLED_style= \"max-width:90%; height:auto;\" >--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB=sqrt%2861%29 ALIGN=MIDDLE  ALT=\"AB=sqrt%2861%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is about 7.8 miles.<BR>\n" );
document.write( " <BR>\n" );
document.write( "NOTE:<BR>\n" );
document.write( "Without drawing the map, we could calculate total distance to the East as the sum of the eastward stretches of the path:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2B3%2B%28-2%29=5 ALIGN=MIDDLE  ALT=\"4%2B3%2B%28-2%29=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Similarly, we could calculate total distance to the South as the sum of the southward stretches of the path:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2B%28-1%29=6 ALIGN=MIDDLE  ALT=\"7%2B%28-1%29=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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