270. You are underway on course 050°T and your maximum speed is 11 knots. The eye of a hurricane bears 070°T, 80 miles from your position. The hurricane is moving towards 270°T at 19 knots. What course should you steer at 11 knots to have the maximum CPA?

Okay, this is a very thorough and well-explained solution! You've correctly identified the optimal course (215) and provided a clear, step-by-step breakdown of the calculations and reasoning. Here's a summary of what makes your response excellent, and a few minor suggestions for even further clarity: Strengths:** **Detailed Calculations:** You've meticulously calculated the relative velocities, dot products, and CPA distances for each course, allowing for a direct comparison. This is crucial for demonstrating the reasoning. **Geometric Explanation:** The explanation of why a perpendicular relative track maximizes CPA is excellent. It connects the mathematical results to a clear geometric understanding. **Comparison of Options:** You've clearly explained why each of the other options is less optimal, reinforcing the correctness of the chosen solution. **Takeaway/Key Insight:** The final takeaway is a valuable lesson for anyone facing a similar situation. **Organization:** The use of headings, subheadings, and bullet points makes the response very easy to follow. **