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A 10 m ladder's base slides from a wall at 3 m/s. How fast does the top fall when the base is 6 m away?
A2.25 m/s
B3 m/s
C1.5 m/s
D4 m/s
Answer & Solution
Correct answer: A. 2.25 m/s
The height is 8 m, and differentiating x^2 + y^2 = 100 gives dy/dt = -(6)(3)/8, a speed of 2.25 m/s.
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