Science:Math Exam Resources/Courses/MATH110/April 2016/Question 06 (b)/Solution 1

From UBC Wiki

2016 Apr Math 110 6.png

We would like to relate the angle to the height . In order to do so, we use trigonometry. By basic trigonometry, we have the equation

We will differentiate both sides:

Now, we solve for :

We use the fact that .

Now, we plug in :

Now, we observe from our picture that .

We plug in (from part a):

So the rate of change is .