A 30-Ft Ladder Leaning Against a Wall Begins to Slide

question 300

Essay

A 30-ft ladder leaning against a wall begins to slide. How fast is the top of the ladder sliding down the wall at the instant of time when the bottom of the ladder is 18 ft from the wall and sliding away from the wall at the rate of 7 ft/sec?
Hint: Refer to the accompanying figure. By the Pythagorean theorem, . Find when and .

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Definitions:

Fraudulent Misrepresentation

A false statement made knowingly, without belief in its truth, or recklessly, with intent to deceive and induce another to act upon it.

Falsely Tells

Communicating untruths or inaccurate information, either knowingly or unintentionally.

Assault

An act of physical attack or a threat of attack that makes another person fear imminent bodily harm.

Batteries

Batteries, in a legal context, refers to the intentional and unlawful physical contact or force against another person; in a general context, it refers to devices that store and provide electrical energy.