The true course between two points is 312°....

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Question 1 of 2066636ee928f7522a1c51a3ae

The true course between two points is 312°. Your gyrocompass has an error of 3°W. You make an allowance of 4° leeway for a west by south wind. What gyro course should be steered to make the true course good?

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Question 1 of 20

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🔍 Key Concepts

• Relationship between True and Gyro courses when you know the gyro error (is the gyro reading higher or lower than the true course for a west error?) • How leeway affects your course to steer: do you point into the wind or away from it to make good the desired track? • Direction of the wind (west by south) and which way that tends to push the vessel off the intended track

💭 Think About

• First, work with the 312° true course and the 3°W gyro error: write the error relationship as G – T = error and solve for the gyro course that corresponds to 312°T before considering leeway. • Next, decide on the direction of leeway: a wind from west by south comes from which side of your intended track, and will it push you toward a more northerly or more southerly course over the ground? • Once you know which way the wind pushes you, ask: should the course steered (gyro) be adjusted to a higher or lower number than the no‑leeway gyro course, and by how many degrees?

✅ Before You Answer

• Be clear on the sign convention: for gyro, use G – T = gyro error and apply 3°W correctly before moving on to leeway. • Confirm from a sketch: draw the true course line, then draw the wind direction (from west by south) and show which way the vessel is blown; this helps decide if you add or subtract the 4° leeway. • After adjusting for both gyro error and leeway, check that your final answer is one of the choices and is clearly labeled as a gyro course (pgc), not a true course.

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