The Top of a Ladder Slides Down a Vertical Wall $0.15 \mathrm {~m} / \mathrm { s }$

question 88

Multiple Choice

The top of a ladder slides down a vertical wall at a rate of $0.15 \mathrm {~m} / \mathrm { s }$ . At the moment when the bottom of the ladder is $1.5 \mathrm {~m}$ from the wall, it slides away from the wall at a rate of $0.3 \mathrm {~m} / \mathrm { s }$ . How long is the ladder?

• A) \(3.9 \mathrm {~m}\)
• B) \(2.9 \mathrm {~m}\)
• C) \(4.4 \mathrm {~m}\)
• D) \(3.4 \mathrm {~m}\)
• E) \(2.4 \mathrm {~m}\)

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Definitions:

Simple Interest

Interest calculated only on the principal amount, or the original sum of money borrowed or invested, without considering the effect of compounding over time.

Obligations

Duties or commitments that require an individual or organization to act in a certain manner, often legally binding.

Equivalent Replacement

The act or process of replacing an asset with another that performs the same function or yields the same output.

Interest Rate

The percentage of a sum of money charged for its use, typically expressed as an annual percentage rate.