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?
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! use pythagorean thm:
h = sqrt( aa + bb )
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position 1:
L = h = 650 cm
a = 520 cm
650 = sqrt( 520*520 + bb )
650*650 = 520*520 + bb
bb = 650*650 - 520*520
b = 390 cm
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position 2:
L = h = 650 cm
a = 520 + 80 = 600 cm
650 = sqrt( 600*600 + bb )
650*650 = 600*600 + bb
bb = 650*650 - 600*600
b = 250 cm
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Answer:
the ladder will be closer to the building by:
390 - 250 = 140 cm
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