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Oliver Queen is stranded on the remote island of Lian Yu. He knows that there is an enemy camp 15 miles away directly northeast of his current position. He hikes for 6 miles along a path that runs 28° north of due east then changes course Prin and hikes another 7 miles in the direction 41° east of due north. How far is he from the camp? In what direction should he hike to reach it? Enemy Camp N, W. N412 W- -E 6 miles 28 -E W- Oliver Queen 15 miles 7 miles

Oliver Queen is stranded on the remote island of Lian Yu. He knows that there is an enemy camp 15 miles away directly northeast of his current position. He hikes for 6 miles along a path that runs 28° north of due east then changes course Prin and hikes another 7 miles in the direction 41° east of due north. How far is he from the camp? In what direction should he hike to reach it? Enemy Camp N, W. N412 W- -E 6 miles 28 -E W- Oliver Queen 15 miles 7 miles

Calculus: Early Transcendentals
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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**Text Transcription:** Oliver Queen is stranded on the remote island of Lian Yu. He knows that there is an enemy camp 15 miles away directly northeast of his current position. He hikes for 6 miles along a path that runs 28° north of due east then changes course and hikes another 7 miles in the direction 41° east of due north. How far is he from the camp? In what direction should he hike to reach it? **Diagram Explanation:** The diagram depicts Oliver Queen's journey and the position of the enemy camp. It includes the following elements: - A coordinate system indicating directions: North (N), South (S), East (E), and West (W). - Oliver Queen's initial path: He hikes 6 miles along a path that is 28° north of due east. - After changing direction, he hikes another 7 miles in a direction 41° east of due north. - The line from Oliver Queen's starting point to the enemy camp measures 15 miles, representing the direct distance to the camp. - The diagram forms a triangle, with the 15-mile line labeled as \(x\), representing the necessary distance Oliver Queen needs to hike directly to the enemy camp. - The angles in the diagram help to identify orientation and guide calculations for determining the shortest path. This setup illustrates the problem of determining Oliver Queen's remaining distance from the camp and the optimal direction to reach it.
Transcribed Image Text:**Text Transcription:** Oliver Queen is stranded on the remote island of Lian Yu. He knows that there is an enemy camp 15 miles away directly northeast of his current position. He hikes for 6 miles along a path that runs 28° north of due east then changes course and hikes another 7 miles in the direction 41° east of due north. How far is he from the camp? In what direction should he hike to reach it? **Diagram Explanation:** The diagram depicts Oliver Queen's journey and the position of the enemy camp. It includes the following elements: - A coordinate system indicating directions: North (N), South (S), East (E), and West (W). - Oliver Queen's initial path: He hikes 6 miles along a path that is 28° north of due east. - After changing direction, he hikes another 7 miles in a direction 41° east of due north. - The line from Oliver Queen's starting point to the enemy camp measures 15 miles, representing the direct distance to the camp. - The diagram forms a triangle, with the 15-mile line labeled as \(x\), representing the necessary distance Oliver Queen needs to hike directly to the enemy camp. - The angles in the diagram help to identify orientation and guide calculations for determining the shortest path. This setup illustrates the problem of determining Oliver Queen's remaining distance from the camp and the optimal direction to reach it.
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