document.write( "Question 552515: please help me to solve the following word problem. A 20 foot ladder is leaned against a wall. If the base of the ladder is 8 feet from the wall, how high up the wall will the ladder reach? \n" ); document.write( "
Algebra.Com's Answer #852292 by ikleyn(52817)\"\" \"About 
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\n" ); document.write( "A 20 foot ladder is leaned against a wall. If the base of the ladder is 8 feet
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document.write( "You have a right-angled triangle.\r\n" );
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document.write( "Its hypotenuse is the ladder length of 20 ft.\r\n" );
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document.write( "One leg of this right-angled triangle is 8 ft long.\r\n" );
document.write( "It is the distance on the ground from the base of the ladder to the wall\r\n" );
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document.write( "You want to find how high up the wall will the ladder reach.\r\n" );
document.write( "This length is another leg of this right-angled triangle.\r\n" );
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document.write( "We find this height by applying the Pythagorean formula\r\n" );
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document.write( "    height = \"sqrt%2820%5E2+-+8%5E2%29\" = \"sqrt%28400-64%29\" = \"sqrt%28336%29\" = 18.3303 ft.\r\n" );
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document.write( "Round and get the ANSWER: the ladder reaches the wall at the height of 18.33 ft.\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is a standard mantra to pronounce when solving this problem.\r
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