Discussion
Afreena walks 8 km towards East and then walks 13 km back, then she turns left and walks 4 km; then walks 5 km after turning left; she turns left again and walks 3 km. How far is she from the starting point ?
Answer: C
Correct answer: 1 km
Take the start as the origin with east positive. She goes 8 km east and then 13 km back, which is west, leaving her at \( (-5,0) \) and facing west. A left turn faces south, so 4 km gives \( (-5,-4) \); a left turn faces east, so 5 km gives \( (0,-4) \); a left turn faces north, so 3 km gives \( (0,-1) \). She is 1 km from where she began.
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