🔍 Key Concepts

• Relative motion of your vessel to the daymark between 1649 and 1654 • Using speed–time–distance to find how far you travel before the course change • Constructing a right triangle to place the daymark abeam at a fixed closest point of approach (0.5 mile to starboard)

💭 Think About

• From 1649 to 1654, how far do you move along your original course, and how does that change the relative bearing and distance to the daymark? • When the daymark is abeam to starboard at 0.5 mile, where is it relative to your new track line (think: right angle off your starboard side)? • How can you use a simple plotting-sheet sketch or vector triangle to find the new course that makes your track pass 0.5 mile from the daymark on the starboard beam?

✅ Before You Answer

• Compute the distance run between 1649 and 1654 using ( \text{Distance} = \text{Speed} \times \text{Time} ) and confirm units (knots and hours) • Mark your original position, the daymark’s position at 1649, and your new position at 1654 to scale before drawing the new track line • Ensure that at the point of closest approach, the line from your track to the daymark is exactly 0.5 mile and perpendicular (abeam) to your new course line