document.write( "Question 815602: If a 650-cm ladder is placed against a building at a certain angle, it just reaches a point on the building that is 520 cm above the ground. If the ladder is moved to reach a point 80 cm higher up, how much closer will the ladder be to the building? \n" ); document.write( "
Algebra.Com's Answer #491110 by TimothyLamb(4379)\"\" \"About 
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use pythagorean thm:
\n" ); document.write( "h = sqrt( aa + bb )
\n" ); document.write( "---
\n" ); document.write( "position 1:
\n" ); document.write( "L = h = 650 cm
\n" ); document.write( "a = 520 cm
\n" ); document.write( "650 = sqrt( 520*520 + bb )
\n" ); document.write( "650*650 = 520*520 + bb
\n" ); document.write( "bb = 650*650 - 520*520
\n" ); document.write( "b = 390 cm
\n" ); document.write( "---
\n" ); document.write( "position 2:
\n" ); document.write( "L = h = 650 cm
\n" ); document.write( "a = 520 + 80 = 600 cm
\n" ); document.write( "650 = sqrt( 600*600 + bb )
\n" ); document.write( "650*650 = 600*600 + bb
\n" ); document.write( "bb = 650*650 - 600*600
\n" ); document.write( "b = 250 cm
\n" ); document.write( "---
\n" ); document.write( "Answer:
\n" ); document.write( "the ladder will be closer to the building by:
\n" ); document.write( "390 - 250 = 140 cm
\n" ); document.write( "---
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