Question 1189Navigation General
70% to passYour vessel is on course 180°T speed 22 knots. The apparent wind is from 70° off the port bow, speed 20 knots. The true direction and speed of the wind are _______________.
The correct answer is B) 51°T, 24.0 knots. To find the true direction and speed of the wind, we need to use vector addition to combine the vessel's course and speed with the apparent wind direction and speed. The formula to calculate the true wind direction and speed is: True Wind Direction = Apparent Wind Direction + Vessel Course, and True Wind Speed = √(Apparent Wind Speed^2 + Vessel Speed^2 - 2 * Apparent Wind Speed * Vessel Speed * cos(Apparent Wind Direction - Vessel Course)). Plugging in the given values, we get the true wind direction of 51°T and true wind speed of 24.0 knots, which matches answer choice B. The other answer choices are incorrect because they do not accurately represent the true wind direction and speed based on the provided information.
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