First, let's define the coordinates. We'll place point A at the origin (0,0). North is along the positive y-axis, and East is along the positive x-axis. Bearings are measured clockwise from North.

Here's how to solve the problem:

First, let's define the coordinates. We'll place point A at the origin $(0,0)$. North is along the positive y-axis, and East is along the positive x-axis. Bearings are measured clockwise from North.

• Ship's movement from A to B:
  • Distance $AB = 12 \text{ km}$.
  • Bearing of B from A is $120^\circ$.
  • The coordinates of B $(x_B, y_B)$ can be found using: $$x_B = AB \sin(120^\circ)$$ $$y_B = AB \cos(120^\circ)$$