document.write( "Question 456214: A 12 foot rope attached to the top of the mast of a sailboat is fastened to a point on the deck 4 feet from the base of the mast. What is the height of the mast? \n" ); document.write( "
Algebra.Com's Answer #313121 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! A 12 foot rope attached to the top of the mast of a sailboat is fastened to a point on the deck 4 feet from the base of the mast. What is the height of the mast? \n" ); document.write( "notice it forms a \"right-triangle\" \n" ); document.write( "apply Pythagorean theorem \n" ); document.write( "rope is the hypotenuse \n" ); document.write( ". \n" ); document.write( "Let m = length of mast \n" ); document.write( "then \n" ); document.write( "m^2 + 4^2 = 12^2 \n" ); document.write( "m^2 + 16 = 144 \n" ); document.write( "m^2 = 128 \n" ); document.write( "m = 11.3 feet \n" ); document.write( " |