Discussion
I am facing south. I turn right and walk 20 m. Then I turn right again and walk 10m. Then I turn left and walk 10m and then turning right walk 20m. Then I turn right again and walk 60m. In which direction am I from the starting point?
Answer: C
Correct answer: North-East
Facing south, a right turn is to the west. Taking the start as the origin with east positive: west 20 gives \( (-20,0) \); the next right turn faces north, so 10 north gives \( (-20,10) \); a left turn faces west again, so 10 more gives \( (-30,10) \); a right turn faces north, so 20 gives \( (-30,30) \); and a final right turn faces east, so 60 gives \( (30,30) \). Both coordinates are positive, so he is north-east of the start.
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