I went 10m to the East from my house, then turned north and walked another 15m, and then I turned west and covered 12m, and then turned south and covered 15m. How far am I from my house?
Answer: 2 m
Explanation
Let's break down the movements step by step:
East 10 meters:
You are now 10 meters east of your house from the starting point.
North 15 meters:
Now you're 10 meters east and 15 meters north of your house.
West 12 meters:
Moving west by 12 meters puts you 2 meters west of your house (because 12 - 10 = 2).
South 15 meters:
Moving south 15 meters brings you back to your house's north-south position (because 15 meters north - 15 meters south = 0).
So now you're 2 meters west and 0 meters north-south from your house.
The distance from your house is simply 2 meters.
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