document.write( "Question 1161445: Macmac and Jay traveled at the same time at the rate of 20 m/min, from the same point on a circular track of radius 600 m. If Macmac walks along the circumference and Jay towards the center, find the distance between them after the 10 minutes? \n" ); document.write( "
Algebra.Com's Answer #785030 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "Let the center of the circle be the origin; have Macmac and Jay start at (600,0).

\n" ); document.write( "Jay walks 200m towards the center in 10 minutes, ending at (400,0).

\n" ); document.write( "Macmac walks 200m along the circumference (assume counterclockwise, as is customary in trigonometry).

\n" ); document.write( "The circumference of the circle is 2pi times the radius, 1200pi; the fraction of the circumference Macmac travels is \"200%2F%281200pi%29+=+1%2F%286pi%29\".

\n" ); document.write( "The angle through which Macmac travels is \"%281%2F%286pi%29%29%2A360+=+60%2Fpi\" degrees.

\n" ); document.write( "Macmac's position after the 10 minutes is (\"600cos%2860%2Fpi%29\",\"600sin%2860%2Fpi%29\").

\n" ); document.write( "Use a calculator and the distance formula to find the distance between them after the 10 minutes.

\n" ); document.write( "(My calculations showed a distance of 257.72m)

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