document.write( "Question 159553: A pole 13 meter long leans against a wall. The bottom of the pole is 5 meter from the wall. If the bottom of the pole is pulled away x centimeter so that the top slides down by the same amount, find x. please show the solution. thank you \n" ); document.write( "
Algebra.Com's Answer #117647 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A pole 13 meter long leans against a wall. The bottom of the pole is 5 meter from the wall. If the bottom of the pole is pulled away x centimeter so that the top slides down by the same amount, find x. \n" ); document.write( "-------------- \n" ); document.write( "Draw the original picture. \n" ); document.write( "Before moving the ladder the sides of the triangle were: 5,h,and 13 \n" ); document.write( "h^2 = 13^2-5^2 \n" ); document.write( "h^2 = 144 \n" ); document.write( "h = 12 meters \n" ); document.write( "---------------------\r \n" ); document.write( "\n" ); document.write( "Draw the new picture; it is a right triangle with a base of (5-x) and a \n" ); document.write( "height of (12-x) and a hypotenuse of 13 meters.\r \n" ); document.write( "\n" ); document.write( "Use Pythagoras to solve for \"x\": \n" ); document.write( "(5-x)^2 + (12-x)^2 = 13^2 \n" ); document.write( "I'll leave the solving to you. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |