You are steering 202°T, and a light is...

Question 1 of 31048fy_heal_CREATE_q342_2027

You are steering 202°T, and a light is picked up dead ahead at a distance of 14.6 miles at 2234. You change course to pass the light 5 miles off abeam to starboard. If you are making 21 knots, what is your ETA at the position 5 miles off the light?

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Question 1 of 31048

🔍 Key Concepts

• Relative motion when altering course to pass a fixed object at a set closest point of approach (CPA) • Using speed–distance–time relationships to find how long it takes to reach a CPA point • Right triangle geometry when you want to pass a fixed point at a set abeam distance

💭 Think About

• Sketch the situation: your original track, the light’s position, and the point 5 miles abeam to starboard. What geometric shape does this form once you alter course? • How can you use the 14.6-mile initial range and the 5-mile desired abeam distance to compute the distance you must travel on the new course? • Once you know the steaming distance at 21 knots, how do you convert that steaming time from decimals into minutes to add to 2234?

✅ Before You Answer

• Be clear that the light is a fixed object, so its position does not move as time passes • Confirm that the 5 miles off abeam to starboard is a perpendicular distance from your new track to the light, not along-track distance • Use $\text{Speed} = \frac{\text{Distance}}{\text{Time}}$ with consistent units (nautical miles and hours) and convert correctly to minutes before choosing a time answer