While on course 321° pgc with a 1° W gyro...

Study

Question 1 of 2066636eea28f7522a1c51aff7

While on course 321° pgc with a 1° W gyro error, you pick up a buoy on radar bearing 001° relative at 5.2 miles. What will be the course to pass the buoy by 1 mile abeam to starboard, if you change course when the buoy is 4.5 miles away?

Back

Question 1 of 20

66636eea28f7522a1c51aff7

No comments yet

Be the first to share your thoughts!

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

🔍 Key Concepts

• Converting between relative bearings, gyro/pgc courses, and true bearings (including applying gyro error correctly) • Using the distance off track and range at course alteration to form a right triangle and find the required alteration angle • Understanding the difference between a course to steer in pgc and a true course, and how exam answers may mix both

💭 Think About

• First, find the buoy’s true bearing from the ship when it is initially observed (use course and relative bearing, and apply gyro error correctly). What quadrant is it in relative to your heading? • When you alter course at 4.5 miles, you want to pass 1.0 mile abeam to starboard. Sketch a right triangle: which sides represent the 4.5 miles and the 1.0 mile? Which trigonometric function will give you the required change of course? • Once you find the new true course, decide whether the answer choice is asking for a true course or a pgc course. How will you convert between them using the given gyro error?

✅ Before You Answer

• Be sure you apply the 1° W gyro error in the correct direction: remember the relationship between true, gyro, and error (G-E-T rule). • Confirm which direction (left or right) you must turn to keep the buoy 1 mile on your starboard beam at closest point of approach. • After computing the angle using trig, double‑check that your resulting course is consistent with the geometry of your sketch (i.e., the buoy ends up on the correct side and at the correct closest distance).

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

Quick actions

— No credit card needed