You are steering 115°T, and a light is...

Question 1 of 31048fy_heal_CREATE_q357_2023

You are steering 115°T, and a light is picked up dead ahead at a distance of 16.7 miles at 0522. You change course to pass the light 3.5 miles off abeam to port. If you are making 12 knots, what is your ETA at the position 3.5 miles off the light?

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Question 1 of 31048

🔍 Key Concepts

• Time-Speed-Distance formula: $\text{Time} = \frac{\text{Distance}}{\text{Speed}}$ with proper unit conversion • Using a right triangle to represent closest point of approach (CPA) distance off abeam and remaining distance to run • Difference between distance from the light now and distance at CPA off abeam along your new course

💭 Think About

• How can you sketch the situation so the light, your current position, and your future abeam position form a right triangle? Which side of the triangle is the 3.5 miles? • You are 16.7 miles from the light now. When you pass 3.5 miles abeam, will your distance from the light be more or less than 16.7 miles? How can Pythagoras help you find that distance? • Once you know how far you still have to travel along your new course to reach the abeam position, how do you convert that distance at 12 knots into minutes and add it to 0522?

✅ Before You Answer

• Confirm you convert knots to nautical miles per minute correctly (12 knots = ? NM per minute) • Double-check which leg of the triangle is the track distance to go versus the abeam distance (3.5 miles) • After calculating the travel time, be sure to add it to 0522 carefully, watching for minute overflow past 60