A ladder 20 feet long leans against a vertical building. If the bottom of the ladder slides away from the building horizontally at a rate of 3...

Saturday, July 9, 2011

A ladder 20 feet long leans against a vertical building. If the bottom of the ladder slides away from the building horizontally at a rate of 3...

Let $\displaystyle{x}$ be
the distance from the wall, and let $\displaystyle{y}$ be the height at the top of the ladder.

Then from the pythagorean theorem we have $\displaystyle{{x}}^{{2}}+{{y}}^{{2}}={{20}}^{{2}}$ .

We are
given that the rate of change of the bottom of the ladder away from the wall is
3ft/sec,...

href="https://en.wikipedia.org/wiki/Related_rates">https://en.wikipedia.org/wiki/Related_rates

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