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

question 46

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:

Good Chain of Title

A clear sequence of ownership documents reflecting an unbroken transfer of property rights from the original owner to the current owner.

Reversioner

An individual or entity entitled to reclaim possession of property after a certain condition has been fulfilled or a specific period has elapsed.

Expropriation

The forceful taking of land by a government or government agency for public purposes.

Rapid Transit

A type of high-speed urban public transportation system, often involving subways, elevated trains, or metros.