Question #35f3f
1 Answer
The rate is
This is a nice example of a Related Rates problem. (Perhaps better called by the full name "Related Rates of Change")
Solution:
We need to find
The relationship between the variables,
We need to find
To find the relationship between the rates of change, differentiate (implicitly) with respect to
So:
Substitute what we know and solve for the desired value.
We are told that
the instant when
Using Pythagoras to find
Now we can finish:
Thus