You are running coastwise on a course of...

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Question 1 of 2066636eea28f7522a1c51b533

You are running coastwise on a course of 323° T, and you have a buoy bearing 11° on your port bow at a distance of 7 miles. You desire to leave the buoy abeam to port at a distance of 2.5 miles. What course should you steer?

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🔍 Key Concepts

• Relative bearings and how to convert them to true bearings based on your heading • Right triangle or traverse solution: using the current and desired distances off to find the change in track line • Using basic trigonometry (sine/cosine or law of cosines) to find the required change in course

💭 Think About

• What is the true bearing of the buoy from you now, given that it is 11° on your port bow while you are steering 323° T? • If you want the buoy abeam to port at 2.5 miles, what should the relative bearing of the buoy be at the planned passing point? • How can you set up a triangle using your present position, the buoy, and the desired closest point of approach (CPA) so you can determine the new course that will pass at 2.5 miles? Describe which sides/angles are known and which you are solving for.

✅ Before You Answer

• Be sure you are consistent with true bearings versus relative bearings when setting up angles • Confirm that you are using the correct initial distance (7 miles) and desired CPA (2.5 miles) in your triangle or traverse calculation • After finding a candidate course, check whether the buoy will end up abeam to port, not ahead or astern, at the 2.5‑mile closest point.

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