document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=524213>Question 524213</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A plane flies 300 km due north, 400 km due east, and then 500 km due south.  How far is the plane from its starting point?  State to the nearest km.  My answer is approximately 860 km.  Please confirm if this is correct.\r<BR>\n" );
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document.write( "Using Distance Formula:  D2 = (x2-x1)+(y2-y1)\r<BR>\n" );
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document.write( "Starting Point:  0<BR>\n" );
document.write( "East:  positive x<BR>\n" );
document.write( "West:  negative x<BR>\n" );
document.write( "North:  positive y<BR>\n" );
document.write( "South:  negative y\r<BR>\n" );
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document.write( "Start:  (0,0)<BR>\n" );
document.write( "300 N:  (0,0)+(300,0)=(300,0)<BR>\n" );
document.write( "400 E:  (300,0)+(400,0)=(700,0)<BR>\n" );
document.write( "500 S:  (700,0)+(0,-500)=(700,-500)\r<BR>\n" );
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document.write( "The plane is 700km east and -500km south of starting point.\r<BR>\n" );
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document.write( "D2= (700-0)2+ (0-500)2<BR>\n" );
document.write( "D2= (700)2 + (-500)2<BR>\n" );
document.write( "D2= 490,000 + 250,000<BR>\n" );
document.write( "D2= 740,000<BR>\n" );
document.write( "D = 860km\r<BR>\n" );
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document.write( "The plane is approximately 860km from its starting point.\r<BR>\n" );
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document.write( "Thank you, in advance, for your assistance.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #347675 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=347675\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The plane has taken a rectangular path\r<BR>\n" );
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document.write( "300 North<BR>\n" );
document.write( "Turn right to east 400 <BR>\n" );
document.write( "then down south 500\r<BR>\n" );
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document.write( "it is 200 miles more south than the starting point\r<BR>\n" );
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document.write( "the horizontal distance is 400 km\r<BR>\n" );
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document.write( "Apply Pythagoras theorem\r<BR>\n" );
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document.write( "400^2+200^2= distance ^2\r<BR>\n" );
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document.write( "160000+40000=d^2<BR>\n" );
document.write( " 200000= d^2<BR>\n" );
document.write( "d= sqrt (400000)<BR>\n" );
document.write( "d= 447.2  km from starting point<BR>\n" );
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