Two ships, one sailing at 30mi/h and the other at 45mi/h. left port at the same time. Three hours later they were 120mi apart. If you had to find the angle between their courses, an equation that could be used to solve this problem is:

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Problem Statement:**

Two ships, one sailing at \(30 \, \text{mi/h}\) and the other at \(45 \, \text{mi/h}\), left port at the same time. Three hours later they were \(120 \, \text{mi}\) apart. If you had to find the angle between their courses, an equation that could be used to solve this problem is:

**Explanation:**

This is a classic problem that involves using the Law of Cosines to determine the angle between the paths of the two ships. By considering the ships' speeds and the time elapsed, we can calculate the distances each ship has traveled and the distance between them. Then, applying the Law of Cosines will enable the determination of the angle between their courses.
Transcribed Image Text:**Problem Statement:** Two ships, one sailing at \(30 \, \text{mi/h}\) and the other at \(45 \, \text{mi/h}\), left port at the same time. Three hours later they were \(120 \, \text{mi}\) apart. If you had to find the angle between their courses, an equation that could be used to solve this problem is: **Explanation:** This is a classic problem that involves using the Law of Cosines to determine the angle between the paths of the two ships. By considering the ships' speeds and the time elapsed, we can calculate the distances each ship has traveled and the distance between them. Then, applying the Law of Cosines will enable the determination of the angle between their courses.
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