document.write( "Question 1005730: **Previous answer was not helpful**\r
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document.write( "An arctic village maintains a circular cross-country ski trail that has a radius of 3.7 kilometers. Suppose that a skier started skiing from the position (3.7, 0) and skied clockwise for 7.5 kilometers before stopping for a rest.\r
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document.write( "Determine the ordered pair (measured in radius lengths and kilometers) on the coordinate axes that identifies the location where the skier rested.
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document.write( "I found both x coordinates, but need help finding. y.\r
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document.write( "(radius lengths) x=cos(7.5/3.7)
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document.write( "(kilometers) x=3.7cos(7.5/3.7)
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document.write( "What are the y coordinates?
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document.write( "Thanks. \n" );
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Algebra.Com's Answer #621885 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! Let's see... \n" ); document.write( "The circumference of the trail is C = 2(pi)r = 23.236 km. \n" ); document.write( "If the skier skis clockwise 7.5 km, they have traversed .323 of the circle, or 116.2 degrees. \n" ); document.write( "Subtracting 90 degrees, they are 26.2 degrees west of south, ata distance of 3.7 from the origin. \n" ); document.write( "Thus their position would be (-3.7sin(26.2), -3.7cos(26.2)) km. \n" ); document.write( "In radius lengths, that is just (-sin(26.2), -cos(26.2)) of them. \n" ); document.write( "How's that? \n" ); document.write( " |