Final answer:
The total distance travelled by the girl and her dog is the sum of two segments of the walk, 2.5 km east and 3.0 km south 35° east, resulting in a total distance of 5.5 km.
Step-by-step explanation:
The total distance travelled is the sum of all individual distances the girl walked with her dog. She first walks 2.5 km east, then turns and walks 3.0 km in a direction that is south 35 degrees east. To find the total distance travelled, we simply add these distances:
- 2.5 km (east)
- 3.0 km (south 35° east)
Therefore, the total distance travelled is 2.5 km + 3.0 km = 5.5 km.