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□ 1. A cruise ship heads at a bearing of 40° for 5 miles, then travels another 30 miles at a bearing of 110°. What is the beari displacement from its initial position? Cannot be determined O 74.3° O 78.43° 011570

□ 1. A cruise ship heads at a bearing of 40° for 5 miles, then travels another 30 miles at a bearing of 110°. What is the beari displacement from its initial position? Cannot be determined O 74.3° O 78.43° 011570

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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### Navigation and Bearing Calculation Problem **Problem Statement:** A cruise ship heads at a bearing of 40° for 5 miles, then travels another 30 miles at a bearing of 110°. What is the bearing of the displacement from its initial position? **Options:** 1. Cannot be determined 2. 74.3° 3. 78.43° 4. 11.57° --- **Explanation:** In solving this problem, you would typically use vector addition and trigonometry to determine the resultant bearing. Bear in mind that the initial and secondary bearings as well as distances traveled are all critical in calculating the displacement. Typically, you would: 1. Convert the bearings and distances into cartesian coordinates. 2. Sum these coordinates to find the resultant vector. 3. Convert this resultant vector back into polar form to find the bearing. Given this context, evaluating these angles and distances requires applying navigational mathematics principles.
Transcribed Image Text:### Navigation and Bearing Calculation Problem **Problem Statement:** A cruise ship heads at a bearing of 40° for 5 miles, then travels another 30 miles at a bearing of 110°. What is the bearing of the displacement from its initial position? **Options:** 1. Cannot be determined 2. 74.3° 3. 78.43° 4. 11.57° --- **Explanation:** In solving this problem, you would typically use vector addition and trigonometry to determine the resultant bearing. Bear in mind that the initial and secondary bearings as well as distances traveled are all critical in calculating the displacement. Typically, you would: 1. Convert the bearings and distances into cartesian coordinates. 2. Sum these coordinates to find the resultant vector. 3. Convert this resultant vector back into polar form to find the bearing. Given this context, evaluating these angles and distances requires applying navigational mathematics principles.
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