A Ladder 20 Feet Long Is Leaning Against the Wall

question 39

Multiple Choice

A ladder 20 feet long is leaning against the wall of a house (see figure) . The base of the ladder is pulled away from the wall at a rate of 4 feet per second. Consider the triangle formed by the side of the house, the ladder, and the ground. Find the rate at which the area of the triangle is changed when the base of the ladder is 8 feet from the wall. Round your answer to two decimal places.

• A) ft²/sec
• B) ft²/sec
• C) ft²/sec
• D) ft²/sec
• E) ft²/sec

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Definitions:

Visual Pathway

A series of brain structures through which visual information from the environment is processed.

Thermoreceptors

Sensory receptors in the skin and other body parts that respond to changes in temperature, enabling the sensation of heat and cold.

Fast Pathway

This refers to a rapid neural response mechanism, often discussed in the context of pain perception, where sensory information bypasses slower processing routes to elicit quick reactions.

Slow Pathway

A term often used in cardiac electrophysiology to refer to a conduction pathway in the heart that has a slower impulse transmission.