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

question 158

Multiple Choice

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 3 ft/sec? ​
Hint: Refer to the accompanying figure. By the Pythagorean theorem, . Find when x=18 and

a = 30; b = 3

• A) 4ft/sec
• B) ft/sec
• C) ft/sec
• D) 3 ft/ssec

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Definitions:

Operating Activities

Business transactions and events related to the primary revenue-generating activities of an organization, influencing cash flow.

Indirect Method

An approach used in cash flow statements to reconcile net income with cash flow from operating activities, adjusting for non-cash transactions.

Accumulated Depreciation

The cumulative value of depreciation expense assigned to a physical asset since it was first utilized.

Statement of Cash Flows

A financial statement showing the cash inflows and outflows for a business over a specific period.