document.write( "Question 1185051: A ladder is 25 cm long leans against a vertical wall so that the base of the ladder
\n" ); document.write( "is 7 m from the foot of the wall. If the top of the ladder slides 4 m down the wall,
\n" ); document.write( "by how many meters will the base of the ladder move away from the foot of the
\n" ); document.write( "wall?
\n" ); document.write( "

Algebra.Com's Answer #815775 by ikleyn(52788)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "A ladder is 25 \"cross%28cm%29\" meters long leans against a vertical wall so that the base of the ladder
\n" ); document.write( "is 7 m from the foot of the wall. If the top of the ladder slides 4 m down the wall,
\n" ); document.write( "by how many meters will the base of the ladder move away from the foot of the wall?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "In this problem, you have two right angled triangles, both with the hypotenuse of 25 meters, \r\n" );
document.write( "which represents the ladder.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "In the first ladder's position, horizontal leg is 7 meters; hence, vertical leg is\r\n" );
document.write( "\r\n" );
document.write( "    \"sqrt%2825%5E2-7%5E2%29\" = \"sqrt%28576%29\" = 24 meters long.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "When the ladder changes his position, sliding vertically  4 meters down, new vertical leg is 24 - 4 = 20 meters long.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Hence, new horizontal leg is  \"sqrt%2825%5E2+-+20%5E2%29\" = \"sqrt%28225%29\" = 15 meters long.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It is the new position of the base of the ladder.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, we just solved the problem and obtained the ANSWER: the base of the ladder will move by 15 - 7 = 8 meters.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );