You are underway on course 204° T at a speed...

Question 1 of 2707066636eea28f7522a1c51b728

You are underway on course 204° T at a speed of 17.3 knots. You sight a light bearing 205° T at a radar range of 4.7 miles at 1222. If you change course at 1228, what is the course to steer to leave the light abeam to port at 1.5 miles?

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Question 1 of 27070

🔍 Key Concepts

• Relative motion between own ship and a fixed navigational light (the light is stationary over the ground) • Using own ship’s track to determine the closest point of approach (CPA) to a fixed object • Constructing a right triangle from your position at 1228 to the desired abeam position 1.5 miles off your track

💭 Think About

• From 1222 to 1228, what distance do you travel along 204° T at 17.3 knots, and where does that put you relative to the light? • If you want the light to be exactly abeam to port at 1.5 miles, in what geometric relation must your new track lie to the line from the light to your future abeam position? • Which heading option would align your new course so that, by the time you are abeam, the perpendicular distance from your track to the light is 1.5 miles?

✅ Before You Answer

• Compute the run from 1222–1228 in nautical miles using the given speed, and plot that along 204° T from your initial radar position relative to the light • From your 1228 position, draw the desired abeam point such that the line from that point to the light is perpendicular to your new track and has length 1.5 miles • Check which answer choice gives a track that, when extended, passes at a perpendicular distance of 1.5 miles from the light on your port side