Concept explainers
To find: the rate at which the shadow’s length is decreasing.
Answer to Problem 33E
The rate at which the shadow’s length is decreasing is
Explanation of Solution
Given information :
From the given diagram in the question, we can see that
All variables are differentiable functions of t .
Calculation:
We have to calculate the rate at which the shadow’s length is decreasing.
Let x represent the length of the shadow.
At the moment,
Use trigonometry to get an equation,
Again, use trigonometry,
Differentiate with respect to t ,
We have to find the answer in inches.
Therefore,
Hence, the rate at which the shadow’s length is decreasing is
Chapter 5 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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