document.write( "Question 149732: This is a critical thinking exercise, that may or may not require algebra.
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document.write( "A Wagon Wheel is placed against a wall.One point on the edge of the wheel is 5 inches from the ground and 10 inches from the wall. What is the radius of the wheel? \n" );
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Algebra.Com's Answer #109836 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! This is a critical thinking exercise, that may or may not require algebra. \n" ); document.write( "A Wagon Wheel is placed against a wall.One point on the edge of the wheel is 5 inches from the ground and 10 inches from the wall. What is the radius of the wheel? \n" ); document.write( ". \n" ); document.write( "Since the wheel is leaning against a wall, the \"wall\",\"ground\", and the \"wheel\" forms a right triangle -- where the \"diameter of the wheel\" is the hypotenuse of the triangle. \n" ); document.write( ". \n" ); document.write( "Using Pythagorean theorem: \n" ); document.write( "Let d = diameter of wheel \n" ); document.write( "5^2 + 10^2 = d^2 \n" ); document.write( "25 + 100 = d^2 \n" ); document.write( "25 + 100 = d^2 \n" ); document.write( "125 = d^2 \n" ); document.write( "sqrt(125) = d \n" ); document.write( ". \n" ); document.write( "radius, of course, is half the diameter: \n" ); document.write( "radius = sqrt(125)/2 = 5.59 inches\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |