When traveling by ship at 25 knots and you are 1 degree off course, how far will you be off course after 2 hr.

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You do not mention the effects of tide or current.
At 25 knots for 2 hours, 50 nautical miles at 1 degree off would put you about 1/2 nautical mile off course.

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Hard to tell because if you are off course on a ship, you may end up on the rocks.

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let's see, 1 degree is the same as what? Hmmm 25 knots is hauling butt by the way. Well you've gone 50 nautical miles in those 2 hours. a nautical mile is the same as 1.2 miles. That's 60 miles...I know theres a whole 60 thing in there, with degrees and seconds and stuff. I will say that you'll be exactly 1 mile away from where you should be.

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Cos 1 = x/ (25*2)

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x = distance off course

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If you travel in a straight line, no matter how fast you go, you will still be "OFF COURSE" by one degree, whether you like it or not, after 2 hours or 22 hours.

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Science teacher is right. You would be off by .55 of a mile. I did not plot this problem out but did it like this. If you went 90 degrees off course for 2 hrs at 25kts you would be 50 miles off. If you went 45 degrees off course for 2 hrs you would be 25 miles off course. Divide 25 miles by 45 degrees and you get .555555 miles per every degree off course. 1 degree is .55 mile off. If you can hold a small boat (less than 65') within a couple of degrees of your course line you are doing well.
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