document.write( "Question 1178358: Kim and Ken 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 Kim walks along a circumference and Kim towards the center, find their distance after 10 minutes. \n" ); document.write( "

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Kim and Ken 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 Kim walks along a circumference and $\"cross%28Kim%29\"$ Ken towards the center, find their distance after 10 minutes.
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document.write( "After 10min at 20m/min, they have eached walked 10min*20m/min = 200m.\r
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document.write( "Let A denote Kim's final position
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document.write( "Let B denote Ken's final position
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document.write( "and C be the center of the circular track\r
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document.write( "Draw triangle ABC.  \r
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document.write( "The distance between Kim and Ken is |AB|
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document.write( "|AC| is just a radius, 600m
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document.write( "|BC| is just the radius minus the distance Ken traveled in towards the center:
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document.write( "    600m-200m = 400m \r
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document.write( "We know Kim swept out an angle equal to x, where we can set up a proportion of her distance along the circumference with the total circumference:
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document.write( "   or  
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document.write( "    radians\r
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document.write( "Using the Law of Cosines:\r
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document.write( "Plug in all the values to get:
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