document.write( "Question 1005166: An arctic village maintains a circular cross-country ski trail that has a radius of 4.5 kilometers. A skier started skiing from the position (4.5,0) and skied counter-clockwise for 1.8 kilometers before stopping for a rest.
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document.write( "Determine the ordered pair (measured in radius lengths) on the coordinate axes that identifies the location where the skier rested). \n" );
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Algebra.Com's Answer #621520 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! The radius is 4.5 km, so a radian is 4.5 km, and the skier went 1.8 km or 0.45 radian before taking a rest. \n" ); document.write( "x^2+y^2=20.25 (r^2) \n" ); document.write( "The sine of 0.45 radian is 0.4350. Multiply that by 4.5 to get the y-value,1.9575 \n" ); document.write( "The cosine of 0.45 radian is 0.9004. Multiply that by x, 4.5, to get 4.052. That is the the x-value \n" ); document.write( "(4.052,1.9575) \n" ); document.write( "That is done because the sine is x/radius. \n" ); document.write( "The two coordinates squared and added=20.25. \n" ); document.write( " |