To determine the direction of the station from the train's starting point after running 120km West, 30km South, and 80km East, we need to consider the net direction of the train's journey.
1. Start by visualizing the directions on a compass:
- West is to the left (←)
- South is downwards (↓)
- East is to the right (→)
2. Calculate the net effect of the distances covered in each direction:
- West (120km) - East (80km) = 40km West
- South (30km) - 0 (no North distance) = 30km South
3. Combining the net distances, we find that the station is 40km West and 30km South from the starting point.
4. Therefore, the direction of the station from the train's starting point is South-West (option a).
By analyzing the distances covered in each direction and their net effect, we can accurately determine the final direction of the station from the train's starting point.
