You are enroute to assist vessel A. Vessel A...

Question 1 / 2066636ee928f7522a1c519688

Question 1 of 2066636ee928f7522a1c519688

You are enroute to assist vessel A. Vessel A is underway at 6 knots on course 133°T, and bears 042°T, 105 miles from you. What is the time to intercept if you make 10 knots?

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Question 1 of 20

66636ee928f7522a1c519688

You are enroute to assist vessel A. Vessel A is underway at 6 knots on course 133°T, and bears 042°T, 105 miles from you. What is the time to intercept if you make 10 knots?

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🔍 Key Concepts

• Relative motion between your vessel and vessel A • Using a relative velocity triangle (or law of cosines) to find closing speed • Time to intercept using ( \text{Time} = \frac{\text{Distance}}{\text{Closing Speed}} )

💭 Think About

• Sketch both courses from a common origin: one line at 133°T (vessel A) and your line pointing toward the bearing 042°T to the target. What is the angle between your track and vessel A’s track? • Given vessel A is already 105 miles away, moving at 6 knots, and you are moving at 10 knots on the intercept course, how can you combine these speeds as vectors to get a single closing speed? • Once you find the closing speed between you and vessel A, how do you convert the resulting time in hours into hours and minutes to compare with the answer choices?

✅ Before You Answer

• Confirm the angle between the two courses (not just between the bearing and one course) before using any cosine or sine relations. • Make sure you use relative speed (resultant of both vessels’ velocities), not just your 10 knots or the speed difference (10 − 6). • After finding time in decimal hours, carefully convert the decimal part to minutes: multiply the fraction of an hour by 60 and compare with the choices.

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Question 1 of 20

You are enroute to assist vessel A. Vessel A is underway at 6 knots on course 133°T, and bears 042°T, 105 miles from you. What is the time to intercept if you make 10 knots?

12h 30m

12h 44m

12h 58m

13h 22m

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Question 1 / 2066636ee928f7522a1c519688

Question 1 of 2066636ee928f7522a1c519688

You are enroute to assist vessel A. Vessel A is underway at 6 knots on course 133°T, and bears 042°T, 105 miles from you. What is the time to intercept if you make 10 knots?

Back

Question 1 of 20

66636ee928f7522a1c519688

You are enroute to assist vessel A. Vessel A is underway at 6 knots on course 133°T, and bears 042°T, 105 miles from you. What is the time to intercept if you make 10 knots?

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