A 35-Foot Ladder Is Leaning Against a House (See Figure)

question 30

Multiple Choice

A 35-foot ladder is leaning against a house (see figure) . If the base of the ladder is pulled away from the house at a rate of 2 feet per second, the top will move down the wall at a rate of where x is the distance between the base of the ladder and the house. Find the limit of r as .

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Definitions:

Gray Iron

A type of cast iron characterized by its graphitic microstructure, which gives it good machinability and vibration damping properties.

Flask

In manufacturing, often refers to a container or casing used in the process of forming metal castings.

Drag

A force acting opposite to the relative motion of any object moving with respect to a surrounding fluid; it also describes the resistance an object encounters while moving through a fluid (like air or water).

Cope

In construction and metalworking, to shape the end of a beam or metal profile so that it fits the contours of another for a joining process.