A ferry transports tourists among three islands. It sails from the first island to the second island, 5.84 km away, in a direction 37.0° north of east. It then sails from the second island to the third island in a direction 58.5° west of north. Finally, it returns to the first island, sailing in a direction 28.0° east of south. (a) Calculate the distance between the second and third islands. Your response differs from the correct answer by more than 10%. Double check your calculations. km (b) Calculate the distance between the first and third islands. km

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Text Transcription for Educational Website:**

A ferry transports tourists among three islands. It sails from the first island to the second island, **5.84 km** away, in a direction **37.0° north of east**. It then sails from the second island to the third island in a direction **58.5° west of north**. Finally, it returns to the first island, sailing in a direction **28.0° east of south**.

**(a) Calculate the distance between the second and third islands.**

[Input box for answer]
*Your response differs from the correct answer by more than 10%. Double check your calculations.* km

**(b) Calculate the distance between the first and third islands.**

[Input box for answer] km

**Graph/Diagram Explanation:**

There are no visible graphs or diagrams in the image provided. The problem is described using directions and distances between three points (islands) in a navigational or geographical context. It involves calculating distances based on given angles and directions.
Transcribed Image Text:**Text Transcription for Educational Website:** A ferry transports tourists among three islands. It sails from the first island to the second island, **5.84 km** away, in a direction **37.0° north of east**. It then sails from the second island to the third island in a direction **58.5° west of north**. Finally, it returns to the first island, sailing in a direction **28.0° east of south**. **(a) Calculate the distance between the second and third islands.** [Input box for answer] *Your response differs from the correct answer by more than 10%. Double check your calculations.* km **(b) Calculate the distance between the first and third islands.** [Input box for answer] km **Graph/Diagram Explanation:** There are no visible graphs or diagrams in the image provided. The problem is described using directions and distances between three points (islands) in a navigational or geographical context. It involves calculating distances based on given angles and directions.
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