At 0250, Great Machipongo Inlet Light "5"...

At 0250, Great Machipongo Inlet Light "5"...

Question 1 of 31048fork_1a4f60dc5b5c4b35b00

At 0250, Great Machipongo Inlet Light "5" (37°21.8'N, 75°43.7'W) bears 279°pgc. At 0320, the light bears 320° pgc. If you are making good 6.5 knots, what is the position of your 0320 running fix?

Question 1 of 31048

Q

At 0250, Great Machipongo Inlet Light "5" (37°21.8'N, 75°43.7'W) bears 279°pgc. At 0320, the light bears 320° pgc. If you are making good 6.5 knots, what is the position of your 0320 running fix?

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🔍 Key Concepts

• Running fix: combine the charted position of the light with the vessel’s movement between the two observation times. • Convert each pgc bearing to a true bearing using the stated gyro error, then reverse the bearing to plot from the light toward the vessel. • Use the 0400 fix from step 3 only if it is actually relevant; the two bearing observations and the 0250–0320 run define this running-fix construction.

💭 Think About

• At each observation, what is the reciprocal direction from the light to your vessel after correcting the gyro bearing? • How far does 6.5 knots carry the vessel in 30 minutes, and how should that displacement shift the earlier line of position to the 0320 time? • Where does the time-adjusted line of position intersect the 0320 bearing line when plotted from the light’s known coordinates?

✅ Before You Answer

• Apply the 2°W gyro error consistently to both bearings before plotting; do not apply magnetic variation or deviation to pgc bearings. • Confirm the run is for 30 minutes at 6.5 knots and plot its distance using the chart’s latitude scale. • Check the resulting fix’s latitude and longitude against the choices; keep west longitudes straight when assessing east/west shifts.