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One thing that is not immediately obvious is that the wind you feel is not true wind but a apparent wind which is a combination of the true wind and the wind you are making by your movement.
When you are sailing close hauled the wind may seem to be about 35 to 40 degrees off your bow so you may be tempted to pick a location 40 degrees off the opposite bow to head for when you tack.
In reality however with most smaller boat with tired sails the place you are likely to be able to aim to is going to be 90 degrees from your current course.
And of course if their is current your realistic new course can be wildly different.
But as to your calculation the 40 to 35 people are talking about is really off the wind angle so it is half of the full tack which is what you are talking about.
When you are sailing close hauled the wind may seem to be about 35 to 40 degrees off your bow so you may be tempted to pick a location 40 degrees off the opposite bow to head for when you tack.
In reality however with most smaller boat with tired sails the place you are likely to be able to aim to is going to be 90 degrees from your current course.
And of course if their is current your realistic new course can be wildly different.
But as to your calculation the 40 to 35 people are talking about is really off the wind angle so it is half of the full tack which is what you are talking about.