document.write( "Question 862718: An 18-foot pole is broken during a storm. The top of the pole touches the ground 12 feet from the base of the pole. How tall is the part of the pole left standing? \n" ); document.write( "
Algebra.Com's Answer #519906 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let the erect part of the pole be x \r \n" ); document.write( "\n" ); document.write( "the slanted part of the pole will be 18-x\r \n" ); document.write( "\n" ); document.write( "the ground distance = 12 \r \n" ); document.write( "\n" ); document.write( "they form a right triangle\r \n" ); document.write( "\n" ); document.write( "apply Pythagoras theorem\r \n" ); document.write( "\n" ); document.write( "12^2+x^2=(18-x)^2\r \n" ); document.write( "\n" ); document.write( "144+x^2=324-36x+x^2\r \n" ); document.write( "\n" ); document.write( "36x=324-144\r \n" ); document.write( "\n" ); document.write( "36x=180\r \n" ); document.write( "\n" ); document.write( "x=180/36\r \n" ); document.write( "\n" ); document.write( "x=5 feet\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |