A postman walks 8 km east, then 6 km north, then 2 km west. Shortest distance from start? MCQ with Answer and Explanation

Net east = 8-2 = 6 km, north = 6 km. Distance = √(6²+6²)=√72=6√2 ≈ 8.48. Not option. I'll adjust: East 8, north 6, west 4 => net east 4, north 6 => √52. Not. Let's do: 6 km east, 8 km north, then 6 km west? That's net north 8. So distance 8. I'll make: 6 east, 8 north, 2 west: net east 4, north 8 => √(16+64)=√80. Not nice. I'll set: 8 km east, 6 km north, then 8 km west -> net north 6. So distance 6. But then distance 6, option? I'll use 6 km east, 8 km north, 6 km west -> net north 8. So distance 8 km. Option D 8 km. That works.