document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=19037>Question 19037</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If two planes leave the same airport at 1pm, how many miles apart will they be at 3pm if one travels north at 150 mph and the other travels directly west at 200 mph? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #9160 by </B><A HREF=/tutors/aboutme.mpl?userid=MelanieBCC><B>MelanieBCC(40)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MelanieBCC><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=9160\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> first, find how far each plane travelled...<BR>\n" );
document.write( "150 mph * 2 hours = 300 miles<BR>\n" );
document.write( "200 mph * 2 hours = 400 miles\r<BR>\n" );
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document.write( "since one is traveling north and the other is travelling west, and you want to find the distance between them, look at it as a right triangle.  If you do not understand why it is a triangle, draw it out on graph paper (make 1 square equal to 100 miles) where the airport is  the origin, plane one is 3 squares up and plane 2 is 4 squares over.\r<BR>\n" );
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document.write( "Pythagorean theorum says <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2%2Bb%5E2=c%5E2 ALIGN=MIDDLE  ALT=\"a%5E2%2Bb%5E2=c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > where c is the hypotenuse; a =300; b=400\r<BR>\n" );
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document.write( "Therefore, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=300%5E2%2B400%5E2=c%5E2 ALIGN=MIDDLE  ALT=\"300%5E2%2B400%5E2=c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "calculating the exponents out leaves <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90%2C000%2B160%2C000=c%5E2 ALIGN=MIDDLE  ALT=\"90%2C000%2B160%2C000=c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "therefore, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=250%2C000=c%5E2 ALIGN=MIDDLE  ALT=\"250%2C000=c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28250%2C000%29=c=500 ALIGN=MIDDLE  ALT=\"sqrt%28250%2C000%29=c=500\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "at 3pm, the planes will be 500 miles apart </SPAN>\n" );
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