At 0450 zone time, on 25 June your DR...

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Question 1 of 2066636eea28f7522a1c51a828

At 0450 zone time, on 25 June your DR position is LAT 21° 26.0' N, LONG 160° 24.5' W. You are steering course 100° T at a speed of 10 knots. You observed 3 celestial bodies. Determine the latitude and longitude of your 0514 running fix. Body Zone Time GHA Observed Altitude Declination Mirfak 450 100°25.9' 35°27.4' N 49°47.5' Fomalhaut 502 169°59.9' 38°01.3' S 29°43.1' Altair 514 219°39.9' 31°39.5' N 8°49.1'

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🔍 Key Concepts

• Running fix with multiple celestial LOPs (Lines of Position) advanced or retarded to a common time • How to convert zone time to GMT (UT) and then to LHA using GHA and assumed longitude • Using course and speed to run the DR forward between each sight time and the 0514 fix time

💭 Think About

• First, think about where your DR position will be at 0514 if you keep course 100°T and speed 10 knots from 0450. How far and in what direction will you move? • Consider how each sight taken at 0450 and 0502 must be advanced to 0514 along your track. How does that change the plotted LOPs on your chart? • When you compare the cluster of advanced LOPs near 0514, ask yourself: which answer choice lies closest to where those three LOPs would most likely intersect relative to your DR track?

✅ Before You Answer

• Compute and sketch your 0514 DR position from the 0450 DR using distance run: ( \text{Distance} = \text{Speed} \times \text{Time} ). Check both the latitude and longitude shift. • Ensure that the earlier LOPs (0450 and 0502) are advanced in the correct direction (along 100°T) and by the correct distance, not just moved straight east or north. • Compare your final plotted intersection with the pattern of change from the original DR: does your chosen answer show a reasonable small change in latitude and a larger change in longitude for a mostly eastbound course?

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