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) You can put this solution on YOUR website! 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( "--- \n" ); document.write( "Solve and graph linear equations: \n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve quadratic equations, quadratic formula: \n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php \n" ); document.write( "--- \n" ); document.write( "Convert fractions, decimals, and percents: \n" ); document.write( "https://sooeet.com/math/fraction-decimal-percent.php \n" ); document.write( "--- \n" ); document.write( "Calculate and graph the linear regression of any data set: \n" ); document.write( "https://sooeet.com/math/linear-regression.php \n" ); document.write( " |