Two boats leave a marina at the same time. The first boat travels 6 knots at a bearing of N39°E, and the second boat travels 4 knots at a bearing of $87°W. a. How far apart are the boats at the end of 2 hr? b. What is the bearing from the first boat to the second boat at that time?

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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26. Two boats leave a marina at the same time. The first boat travels 6 knots at a bearing of N39°E, and the
second boat travels 4 knots at a bearing of $87°W.
a. How far apart are the boats at the end of 2 hr?
b. What is the bearing from the first boat to the second boat at that time?
Transcribed Image Text:26. Two boats leave a marina at the same time. The first boat travels 6 knots at a bearing of N39°E, and the second boat travels 4 knots at a bearing of $87°W. a. How far apart are the boats at the end of 2 hr? b. What is the bearing from the first boat to the second boat at that time?
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The chapter of the book this question comes from has us using the law of cosines to solve these problems so we're subtracting 2ABcos(theta) in the formula rather than adding it. I'm having trouble understanding the difference between the resultant vector formula used here and the law of cosines, can you help me understand how using the law of cosines would be different?

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