A boat is located 3 km in the ocean from a point, says P on a straight shoreline. That point is 5 km from a restaurant located on the same shore. A person plans to row the boat to point P and then walk along the shore to the restaurant. If the person walks at 4 km per hour and rows at 3 km per hour, find P so that the total travel time is minimized?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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A boat is located 3 km in the ocean from a point, says P on a straight shoreline. That point is
5 km from a restaurant located on the same shore. A person plans to row the boat to point
P and then walk along the shore to the restaurant. If the person walks at 4 km per hour and
rows at 3 km per hour, find P so that the total travel time is minimized?

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