A ship leaves port, find its position after it has traveled 1000 nautical miles.

A ship leaves port (position 44.67°N, 63.58°W), starting due east and continuing on the great circle. Find its position after it has sailed 1000 nautical miles. Find its direction after it has sailed 1000 nautical miles. Recall that a nautical mile is an angle of one minute along a great circle.

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