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The distance between the above places is approximately equal to 400 nautical miles. To convert miles to nautical miles, multiply the miles by 0.86. This is point to point straight distance. The actual distance will change according to the route.

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A yacht leaves a dock at a bearing of S 1.4 degrees E and a speed of 20 knots over 428 nautical-miles. a. How long will it take the yacht to make the trip b. How far east and south is it after 12hr?

1 knot = 1 nautocal mile per hour. So 428 nm @ 20 knots per hour will take 428/20 = 21.4 hours. After 12 hours, it is 20*12 = 240 nautical miles away. Its distance East is 240*cos(1.4deg) = 239.9 nautical miles and its distance South is 240*sin(1.4deg) = 5.9 nautical miles.


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