4.4 An Apparent Wind Exercise

This is all related and a fun exercise. Why does a sailboat when heading for an upwind mark need to tack through 90 degrees when the wind is only 30 degrees off the bow?

For a 10 knot wind and a boat going 4 knots the apparent wind difference is 15 degrees. Thus at 30 degrees apparent off the wind, you're really 45 degrees off the true wind. 45 x 2 = 90.

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