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:

Consequential

Referring to outcomes or results that follow as a direct or indirect effect of an action, often used in the context of damages in legal settings.

Requirements

Mandates or criteria set forth for achieving or maintaining a specific standard or fulfilling a specific condition.

Cover

In commercial transactions, the act of purchasing substitute goods when a seller fails to fulfill a contract.

Incidental Damages

Additional minor costs that a party incurs when the other party fails to fulfill a contract.