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A 10-ft ladder is leaning against a house when its base starts to slide away. by the time the base is 3 ft from the house, the base is moving at the rate of 7 ft/sec.
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A 10-ft ladder is leaning against a house when its base starts to slide away. by the time the base is 3 ft from the house, the base is moving at the rate of 7 ft/sec.

User JonoJames
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1 Answer

2 votes
100 = x^2 + y^2
So
2 x dx/dt + 2y dy/dt =0
So
dy/dt = -x/y dx/dt
= -x/sqrt(100-x^2) * 7 At x=3
User Russ Huguley
by
8.1k points
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