Answer:
To find the speed of the ship traveling south, we need to find the component of its velocity in the south direction.
The angle between the ship's velocity vector and the south direction is the complement of the angle between the ship's velocity vector and the east direction (which is 90° - 305° = 55°).
So, the southward component of the ship's velocity is:
sin(55°) x 13 knots ≈ 10.62 knots
Therefore, the ship is traveling south at approximately 10.62 knots.