To calculate: Find the changing angle.
Answer to Problem 34E
Thus that the angle
Explanation of Solution
Given information:
Speed of
Speed of
At what rate is the angle
Calculation:
The goal of the exercise is to compute the rate at which the angle
It is given that
Let's denote the distance of person
It is given that
To obtain the rate of change of
The most appropriate trigonometric ratio to relate a, b and
Now will differentiate the obtained equation with respect to
Now from Eq. (1) let's observe that to find the required rate of change of angle
Note that have
Let's substitute
which gives that
Now let's substitute
The next task of the problem is to convert the
Know that
Thus that the angle
Chapter 4 Solutions
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