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Storm Avoidance: Course To Steer To Have Maximum CPA

You are underway on course 120°T and can make 12 knots. The eye of the hurricane bears 150°T at 120 miles. The hurricane is on course 295°T at 20 knots. What course should you steer at 12 knots to have the maximum CPA?

Given:  Own course = 120°T
              Own speed = 12 knots
     Hurricane bearing = 150°T
      Hurricane course = 295°T
       Hurricane speed = 20 knots

What is asked: Course to steer

Solution:
  1. We are going to divide own speed by the storm speed. 
  2. And then press inverse cosine. 
  3. Answer in #2 shall be added or subtracted the storm course. (Rule: + if storm bears quarter, - if storm bears bow)
So this is how to solve:  12 ÷ 20 = 0.6 inv cosine = 53° + 295° = 348°



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6 comments:

  1. do you have storm avoidance problems asking distance?

    ReplyDelete
    Replies
    1. MarCo,

      Yes I have and I just posted it a couple of minutes ago.

      http://oic-nwreviewer.blogspot.com/#!/2014/03/storm-avoidance-maximum-distance.html



      Delete
    2. I encountered a problem w/ a given: Own speed=10knots, Hurricane Speed= 19knots, huricane bearing= 285°T... but the correct ans.was 226, (could u pls explain this) thank u

      Delete
    3. Sir, your data is lacking. You don't give the ship's course. But anyway, I can guess where the storm is located in relation to your course because you have given me the answer which is 226° according to you.

      So this is it. 10 ÷ 19 = ans inv cosine = 58.24°. Since you said that the correct answer is 226°, so the storm is located to your bow; as 285° - 58.24 = 226.76°

      I hope this answer your question. If you have other questions, share it here so that readers to this blog may contribute something.

      Delete
  2. Could you please explain further about this, (Rule: + if storm bears quarter, - if storm bears bow) Thanks.

    ReplyDelete
    Replies
    1. It simply means whether the storm is located to your front or to your back.

      Delete