A 10-ft ladder rests against a vertical wall

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

A 10-ft ladder rests against a vertical wall. The bottom slides horizontally away from the wall at 3 ft/s. Determine the rate at which the top of the ladder is descending at the moment when the bottom is 6 ft from the wall. Include units in your answer.

Related theory

Pythagoras' Theorem
Triangle Properties
Related Rates
Rates of change
Rate of change of quantities

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