You are underway on course 340° T at a speed...

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Question 1 of 2066636eea28f7522a1c51b735

You are underway on course 340° T at a speed of 14.8 knots. You sight a buoy bearing 342° T at a radar range of 4.8 miles at 1422. If you change course at 1428, what is the true course to steer to leave the buoy abeam to port at 1.0 mile?

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Question 1 of 20

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🔍 Key Concepts

• Relative motion between own ship and a fixed object when you alter course after the initial radar observation • Using time, speed, and course to find how far you move (distance run) and how that changes the relative bearing and range to the buoy • Constructing or visualizing a right triangle where you want the buoy abeam to port at a specific closest point of approach (1.0 mile)

💭 Think About

• From 1422 to 1428, how far do you travel along 340° T at 14.8 knots, and how does this movement change your position relative to the buoy first seen at 4.8 miles on bearing 342° T? • At 1428, once you know your new position and the buoy’s fixed position, what course must you steer so that your track passes with the buoy exactly 1.0 mile on your port beam (i.e., at 90° on your port side) at the closest point? • Which of the answer choices would align your future track so that the line from your track to the buoy at CPA is perpendicular and exactly 1.0 mile long?

✅ Before You Answer

• Convert the elapsed time from minutes to hours and then use the speed formula to find the distance run between 1422 and 1428: ( \text{Distance} = \text{Speed} \times \text{Time} ) • Plot or sketch your initial line of position from own ship to the buoy using the given bearing and range, then advance your ship’s position along 340° T by the distance run to get the 1428 position relative to the buoy • From that 1428 position, construct a line of intended track such that the perpendicular distance from that line to the buoy is 1.0 mile, and determine the true course of that line

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