You are steaming on a course of 208°T at 21...

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Question 1 of 2066636eea28f7522a1c51b62f

You are steaming on a course of 208°T at 21 knots. At 2019 you observe a lighthouse bearing 129°T. At 2030 the lighthouse bears 103°T. What is your distance off at the second bearing?

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Question 1 of 20

66636eea28f7522a1c51b62f

You are steaming on a course of 208°T at 21 knots. At 2019 you observe a lighthouse bearing 129°T. At 2030 the lighthouse bears 103°T. What is your distance off at the second bearing?

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🔍 Key Concepts

• Relative motion with two bearings from the same object • Using the ship’s track and two lines of bearing to form a triangle • Relationship between distance run, included angle, and distance off at second bearing

💭 Think About

• Sketch your track and plot both lighthouse bearings from your ship’s positions at 2019 and 2030. What kind of triangle is formed between the two ship positions and the lighthouse? • How can you use speed and time between bearings to find the distance run, and then relate that to the angles at the lighthouse and along your track? • Which trigonometric function (sine, cosine, or tangent) naturally relates the distance off at the second bearing to the distance run between the bearings and the change in bearing angles?

✅ Before You Answer

• Convert speed and time to distance run between 2019 and 2030 in nautical miles • Compute the change in lighthouse bearing and the angle between course and each bearing to set up the triangle correctly • Before choosing an answer, check that your computed distance off is reasonable compared to the distance run (it should not be wildly larger or smaller).

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Question 1 of 2066636eea28f7522a1c51b62f

You are steaming on a course of 208°T at 21 knots. At 2019 you observe a lighthouse bearing 129°T. At 2030 the lighthouse bears 103°T. What is your distance off at the second bearing?

Back

Question 1 of 20

66636eea28f7522a1c51b62f

You are steaming on a course of 208°T at 21 knots. At 2019 you observe a lighthouse bearing 129°T. At 2030 the lighthouse bears 103°T. What is your distance off at the second bearing?

No comments yet

Be the first to share your thoughts!

If the question has a related picture, it will appear here.

🔍 Key Concepts

💭 Think About

✅ Before You Answer

👋 Hi! I'm Genie, your AI study assistant. How can I help you with this question?

Quick actions

— No credit card needed