Math Problem Statement
A ladder is 15 feet long and leaning against a wall. The base of the ladder is being pulled away from the wall at a rate of 2 feet per second. If the top of the ladder is sliding down the wall at a rate of 1 foot per second, at what rate is the angle between the ladder and the wall changing when the base of the ladder is 5 feet away from the wall?
Solution
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Related Rates
Formulas
Trigonometric functions
Related rates formula
Theorems
-
Suitable Grade Level
High School
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