Crazy Directions
Geometry
Level
1
I'm currently facing south. If I turn right and walk 20m, turn right again and walk 10m, turn left and walk 10m, turn right and walk 20m, and finally turn right and walk 60m, then in which direction am I from the starting point?
South-West
South
North-East
North
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Suppose you start at the origin (0, 0) facing south (so, along the negative y -axis). If you turn to your right and walk 20m, then you'll be walking west and you'll will end at ( − 2 0 , 0 ) , facing west.
Turning right faces you north. Walk 10m: You'll be at ( − 2 0 , 1 0 ) .
Turning left faces you west. Walk 10m: You'll be at ( − 3 0 , 1 0 ) .
Turning right faces you north. Walking 20m: You'll be at ( − 3 0 , 3 0 ) .
Turning right faces you east. Walking 60m: You'll be at ( 3 0 , 3 0 ) .
Finally, the coordinate ( 3 0 , 3 0 ) is located northeast of the origin.