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

Question 1 of 2921866636ee928f7522a1c51967a

You are enroute to assist vessel A. Vessel A is underway at 5.5 knots on course 033°T, and bears 248°T at 64 miles from you. What is the time to intercept if you make 13 knots?

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Question 1 of 29218

You are enroute to assist vessel A. Vessel A is underway at 5.5 knots on course 033°T, and bears 248°T at 64 miles from you. What is the time to intercept if you make 13 knots?

🔍 Key Concepts

• Relative motion between your vessel and vessel A (closing speed) • Using the law of cosines or a relative motion triangle to find the distance you must travel • Converting time from hours (decimal) to hours and minutes to compare with the choices

💭 Think About

• How can you find the relative speed between two vessels when you know both speeds and the angle between their courses? • Once you know the closing (relative) speed, what simple formula lets you find the time to cover the 64-mile separation? • After you compute time in hours, how do you correctly convert the decimal fraction of an hour into minutes so it matches the multiple-choice format?

✅ Before You Answer

• Be sure you are using relative speed, not just your own 13 knots or the other vessel’s 5.5 knots alone. • Check that you are using the correct angle between the two courses when building your relative motion triangle or doing cosine calculations. • After calculating time, re-check the hour-to-minute conversion so you don’t pick a choice that only differs by a few minutes due to a conversion mistake.