document.write( "Question 726503: Speed of Plane A = 450 mph.\r
\n" ); document.write( "\n" ); document.write( "Speed of Plane B = 350 mph.\r
\n" ); document.write( "\n" ); document.write( "Both planes leave from Kansas City at the same time.\r
\n" ); document.write( "\n" ); document.write( "Plane A flies due West.\r
\n" ); document.write( "\n" ); document.write( "Plane B flies due South.
\n" ); document.write( "After 2.5 hours, how far is Plane A from Plane B?
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Algebra.Com's Answer #444838 by KMST(5328)\"\" \"About 
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After 2.5 hours, plane A is directly to the West of Kansas City at a distance (in miles) of
\n" ); document.write( "\"450%2A2.5=1125\"
\n" ); document.write( "After 2.5 hours, plane B is directly South of Kansas City at a distance (in miles) of
\n" ); document.write( "\"350%2A2.5=875\"
\n" ); document.write( "The trajectories of the two planes form a right angle.
\n" ); document.write( "Along with the segment connecting the two planes, they form a right triangle with the trajectories for legs and the distance between the planes, d (in miles), for hypotenuse.
\n" ); document.write( "According to the Pythagorean theorem,
\n" ); document.write( "\"d%5E2=1125%5E2%2B875%5E2\" --> \"d%5E2=1265625%2B765625\" --> \"d%5E2=2031250\"
\n" ); document.write( "\"d=sqrt%282031250%29\"
\n" ); document.write( "The exact value is \"d=125sqrt%28130%29\".
\n" ); document.write( "A good approximation is \"d=1425\".
\n" ); document.write( "After 2.5 hours the planes are about 1425 miles apart.
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