Your vessel is on a course of 034° T at 17...

Question 1 of 2707066636eea28f7522a1c51b78b

Your vessel is on a course of 034° T at 17 knots. At 0551 a light bears 056.5° T, and at 0623 the light bears 079° T. At what time and distance off will your vessel be when abeam of the light?

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Question 1 of 27070

Your vessel is on a course of 034° T at 17 knots. At 0551 a light bears 056.5° T, and at 0623 the light bears 079° T. At what time and distance off will your vessel be when abeam of the light?

🔍 Key Concepts

• Relative bearing changing with time to determine when the object will be abeam (90° from your heading) • Using a plot of your track and bearings to find distance off at abeam • Using speed-time-distance: $\text{Distance} = \text{Speed} \times \text{Time}$ to relate the interval between bearings and the distance run

💭 Think About

• How does the change in true bearing of the light between 0551 and 0623 tell you whether you are passing ahead of or behind the light? • If your course is 034° T, what true bearing will the light have when it is exactly abeam? How can you use the two given bearings to estimate when that will occur? • Once you find the time you are abeam, how can you use your speed and the time intervals from the observed bearings to determine the distance off at abeam?

✅ Before You Answer

• Be sure you are using true bearings from the question and comparing them correctly with your true course (034° T). • Check that the abeam bearing you use is exactly 90° from your course, on the correct side of the vessel. • Confirm your time interval calculations (in minutes) and convert correctly when using $\text{Distance} = \text{Speed} \times \text{Time}$ .