At 2221 your course is 222°pgc at a speed of...

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Question 1 of 2066636ee928f7522a1c519097

At 2221 your course is 222°pgc at a speed of 11.2 knots, when radar detects a buoy bearing 355° relative, at a range of 5.8 miles. The gyro error is 2°E. If you change course at 2226, what course should you steer to leave the buoy 1.0 mile abeam to port?

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Question 1 of 20

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🔍 Key Concepts

• Relative vs. true bearings and how to convert between them using ship’s heading • How time, speed, and distance determine how far you travel before altering course • How to find a new course that will pass a fixed object at a desired closest point of approach (CPA) abeam to port

💭 Think About

• What is the buoy’s true bearing at 2221, and what will your position be at 2226 after running 5 minutes at 11.2 knots on 222°pgc (corrected for gyro error)? • After you plot your new position and the buoy’s position, how do you draw a line of intended track that passes 1.0 mile abeam to port of the buoy? • Once you have the true course of that track, how do you convert it back to a per gyro compass (pgc) course using the given gyro error?

✅ Before You Answer

• Be sure you correctly convert relative bearing (355°R) to a true bearing from your ship’s head before plotting • Carefully compute the distance run in 5 minutes at 11.2 knots; check your time–speed–distance math • After finding the desired true course, re-apply the gyro error 2°E correctly to obtain the proper pgc course before comparing with the choices

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