document.write( "Question 476553: Imagine a pole stuck in the ground in such a way that it sticks up perpendicularly and 12 ft of it is showing. Then, all of a sudden the wind knocks the top off and the top touches 4ft from the base. The top is partial attached. How high is the break? i am having trouble setting this problem up \n" ); document.write( "
Algebra.Com's Answer #326737 by robertb(5830)![]() ![]() You can put this solution on YOUR website! Let x = hypotenuse of the right triangle formed. \n" ); document.write( "Then the perpendicular side of the right triangle will measure 12 - x feet, while the horizontal side will be 4 feet. \n" ); document.write( "Then by the Pythagorean theorem, \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "<==> \n" ); document.write( "==> 160 = 24x \n" ); document.write( "==> x = 20/3 \n" ); document.write( "==> the break is up 12 - x = 16/3 feet, or approximately 5.33 feet. \n" ); document.write( " |