Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 6 - Section 6.4 - Graphs of Polar Equations - Exercise Set - Page 754: 46

Answer

The sailboat gives a speed of about $7\,\text{knots}$ at a $120{}^\circ $ angle to the wind.

Work Step by Step

Let us express the given situation in polar form where each point $\left( r,\theta \right)$ on the graph gives the sailing speed, r, in knots, at an angle $\theta $ to the $10$ knot wind. From the graph, we can observe that the sailboat gives a speed of about $7$ knots at a $120{}^\circ $ angle to the wind.
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