document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=328705>Question 328705</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A boat is 8 km north and 15 km west of its starting point.How far is the boat from its 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 #235476 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=235476\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the boat is 8 km north and 15 km west of its starting point.\r<BR>\n" );
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document.write( "Let its starting point = the origin of a graph.\r<BR>\n" );
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document.write( "This means that x = 0 and y = 0.\r<BR>\n" );
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document.write( "Let west be the horizontal line along the x-axis and let y = the vertical line along the y-axis.\r<BR>\n" );
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document.write( "15 km west of its starting point would be at x = 15.\r<BR>\n" );
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document.write( "8 km north of its starting point would be at y = 8\r<BR>\n" );
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document.write( "The point on the graph where the boat is located is (x,y) = (15,8).\r<BR>\n" );
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document.write( "the distance of the boat from its starting point is the hypotenuse of the right triangle formed by a horizontal line of 15 km in length and a vertical line of 8 km in length.\r<BR>\n" );
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document.write( "the length of this line is equal to the square root of 15^2 + 8^2 which makes it equal to the square root of 225 + 64 which makes it equal to the square root of 289 which makes it equal to 17 km.\r<BR>\n" );
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document.write( "a rough sketch of the graph is shown below:\r<BR>\n" );
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document.write( "                                 x\r\n" );
document.write( "                               (0,8)                        (15,8)\r\n" );
document.write( "                                 x                         x   x  \r\n" );
document.write( "                                 x                     x       x  \r\n" );
document.write( "                                 x                  x          x  \r\n" );
document.write( "                                 x               x             x  \r\n" );
document.write( "                                 x           x                 x  \r\n" );
document.write( "                                 x       x                     x  \r\n" );
document.write( "                                 x   x                         x  \r\n" );
document.write( " x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x \r\n" );
document.write( "                               (0,0)                        (15,0)\r\n" );
document.write( "                                 x\r\n" );
document.write( "                                 x\r\n" );
document.write( "                                 x\r\n" );
document.write( "                                 x\r\n" );
document.write( "                                 x\r\n" );
document.write( "                                 x\r\n" );
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document.write( "coordinates are expressed as (x,y)\r\n" );
document.write( "x is the value of the x-coordinate\r\n" );
document.write( "y is the value of the y-coordinate\r\n" );
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document.write( "</PRE>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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