1. **Stating the problem:** We need to find the bearing of a ship sailing in different heading positions: a) towards east, b) towards south east, c) towards west, d) towards north west. 2. **Understanding bearings:** Bearings are measured clockwise from the north direction. The bearing is an angle between 0° and 360°, where 0° or 360° is north, 90° is east, 180° is south, and 270° is west. 3. **Calculating bearings for each direction:** - a) Towards east: Bearing is $90^\circ$ because east is 90 degrees clockwise from north. - b) Towards south east: South east is exactly halfway between south (180°) and east (90°), so bearing is $135^\circ$. - c) Towards west: West is 270° clockwise from north, so bearing is $270^\circ$. - d) Towards north west: North west is halfway between north (0°) and west (270°), so bearing is $315^\circ$. 4. **Summary:** - a) East: $90^\circ$ - b) South east: $135^\circ$ - c) West: $270^\circ$ - d) North west: $315^\circ$