document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202670>Question 1202670</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An air traffic controller spots two planes flying at the same altitude. Their flight paths form a right angle at point P. One plane is 150 miles from point P and is moving at 460 miles per hour. The other plane is 200 miles from point P and is moving at 460 miles per hour. Write the distance s between the planes as a function of time t. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #837651 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=837651\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Imagine  the two planes are moving  towards P\r<BR>\n" );
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document.write( "The two places are at right angles to each other. ( In same Plane)\r<BR>\n" );
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document.write( "Form  two equations that shows  the  position  of each plane.\r<BR>\n" );
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document.write( "Plane A position at any time = 150 - 450t\r<BR>\n" );
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document.write( "Place B position = 200 - 450t  perpendicular \r<BR>\n" );
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document.write( "The d istance between tem  will be  hypotenuse of the triangle with sides that are given   by Plane A & B positions\r<BR>\n" );
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document.write( "c^2= a^2 + b^2 (Pythagoras Theorem)\r<BR>\n" );
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document.write( "c(t)^2 = (150t- 450)^2 +(200t-450)^2\r<BR>\n" );
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document.write( "22500t2-135000202500 +40000t^2-180000+202500\r<BR>\n" );
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document.write( "simplify to get the required function\r<BR>\n" );
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