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June 29, 2015

Homework Help: Calculus

Posted by Anonymous on Friday, June 22, 2012 at 8:12am.

Suppose a ladder of length 36 feet rests against a wall, and we pull the base of the ladder horizontally away from the wall. For a given distance x that we pull the ladder horizontally, let g(x) be the height of the ladder on the wall, under the assumption that the other end of the ladder always contacts the wall. We know from Pythagorean theorem that for every x:
x2 + [g(x)]2 = 36^2

At what rate is the height changing when
x = 8?
When the ladder is 6 feet from the ground (g(x) = 6)?

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