document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=612728>Question 612728</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A plane X starts at A and flies to B which is a point 900 Km north and 1200 Km west of A. A plane Y starts at C which is 600 Km west of A and flies north. Draw a diagram of this information on a piece of scratch paper. <BR>\n" );
document.write( "(a) Where do the flight paths cross? <BR>\n" );
document.write( " Km north of A and  Km west of A. <BR>\n" );
document.write( "(b) Let plane X travel 500Km/hr, then how fast must plane Y fly to crash into plane X assuming that they take off at the same time? <BR>\n" );
document.write( "Km/hr </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #385702 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=385702\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A plane X starts at A and flies to B which is a point 900 Km north and 1200 Km west of A. <BR>\n" );
document.write( "A plane Y starts at C which is 600 Km west of A and flies north.<BR>\n" );
document.write( " Draw a diagram of this information on a piece of scratch paper.<BR>\n" );
document.write( " This will help to understand what we are doing here.\r<BR>\n" );
document.write( "\n" );
document.write( "(a) Where do the flight paths cross?<BR>\n" );
document.write( "Find the distance from A to B, the hypotenuse (h) of a right triangle<BR>\n" );
document.write( "h = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28900%5E2%2B1200%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28900%5E2%2B1200%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "h = 1500 km<BR>\n" );
document.write( "These are similar right triangles, the 2nd triangle sides are half the x triangle's sides.<BR>\n" );
document.write( "a=600, b=450, c=750<BR>\n" );
document.write( "therefore: <BR>\n" );
document.write( "  Km north of A = 450, and Km west of A = 600 <BR>\n" );
document.write( ":<BR>\n" );
document.write( "(b) Let plane X travel 500Km/hr, then how fast must plane Y fly to crash into plane X assuming that they take off at the same time?<BR>\n" );
document.write( "Km/hr<BR>\n" );
document.write( "We know how far it will be for plane x to intercept northbound y: 750 km from A<BR>\n" );
document.write( "Find the time for A to travel 750 km at 500 km.hr<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=750%2F500 ALIGN=MIDDLE  ALT=\"750%2F500\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.5 hrs<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find how fast it will take y to go north to this point which is 450 km from C in 1.5 hrs.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=450%2F1.5 ALIGN=MIDDLE  ALT=\"450%2F1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 300 km/hr speed of plane y </SPAN>\n" );
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