The bearing from the port to the ship can be calculated using trigonometry. The ship’s initial direction of North-25°-West can be represented as an angle of 360° - 25° = 335° measured clockwise from north. After traveling 4 miles in this direction, the ship turns left (90° counterclockwise) and travels 11 miles. This means the ship is now traveling in a direction of 335° - 90° = 245°.
We can represent the ship’s movements as a right triangle with legs of length 4 and 11 miles. The angle between these two legs is 90°, so we can use the Pythagorean theorem to find the distance from the port to the ship: sqrt(4^2 + 11^2) = sqrt(137) ≈ 11.70 miles.
To find the bearing from the port to the ship, we need to find the angle between the north direction and the line connecting the port and the ship. We can use trigonometry to find this angle: tan^-1(11/4) ≈ 69.44°. Since the ship is west of north from the port, this means the bearing from the port to the ship is North-69.44°-West or approximately N69.44°W.