oliveelk834Lv1
18 Nov 2021
Problem 38
Page 307
Section 4.6: Optimization Problems
Chapter 4: Applications of Differentiation
Textbook ExpertVerified Tutor
18 Nov 2021
Given information
1. A woman is standing at a point on the shore of a circular lake with radius 2 mi.
2. She wants to arrive at the point diametrically opposite on the other side of the lake in the shortest possible time.
3. She can walk at the rate of 4 mi/h.
4. She can row a boat at 2mi/h. How should she proceed?
5. Figure below
Step-by-step explanation
Step 1.
Let be the center of the circle as given in above figure.
Therefore in ,
Therefore
Therefore
Therefore
Therefore from law of Sines in we have
Therefore
We have ()