Posted by Stacy on Wednesday, February 22, 2012 at 4:02pm.
Let the ladder be x ft from the wall, and y ft up along the wall
x^2 + y^2 = 20^2
2x dx/dt + 2y dy/dt = 0
x dx/dt + y dy/dt = 0
when x=16 , y^2 = 400-256 ---> y = 12
and dy/dt = -2 ft/sec
16(dx/dt) + 12(-2) = 0
dx/dt = -24/16 = -3/2
the ladder is moving away from the wall at 1.5 ft/s
last two lines should have been
16(dx/dt) + 12(-2) = 0
dx/dt = 24/16 = 3/2
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