You are steering a course of 316°T, and a...

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Question 1 of 2066636ee928f7522a1c51a1e8

You are steering a course of 316°T, and a light bears 34° on the port bow at 2053. At 2126 the same light bears 68° on the port bow, and you have run 5 miles since the first bearing. What is the ETA when the lighthouse is abeam?

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Question 1 of 20

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🔍 Key Concepts

• Relative bearings and how to convert them to true bearings or use them directly for relative motion problems • The concept of abeam (what relative bearing corresponds to abeam?) • Using time–distance–speed relationships to find how long it takes for a bearing to move through a certain angle

💭 Think About

• From 2053 to 2126, how many minutes passed, and how many degrees did the relative bearing change? What does that tell you about the rate of change of bearing in degrees per minute? • What relative bearing will the light have when it is exactly abeam? Starting from 34° and 68° on the port bow, how many more degrees must the bearing change to reach abeam? • Once you know the rate of bearing change and the remaining degrees to abeam, how many minutes will that take, and what ETA does that give from the original clock time?

✅ Before You Answer

• Be clear on what “port bow” means for relative bearing (measured from the bow toward the port side). • Confirm what relative angle corresponds to abeam on the port side. • Double-check the time interval between the two observations and the total change in relative bearing before calculating the rate.

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