A man starting from his home walks 5km towards the east, and then he turns left and goes 4km. At least he turns to his left end and walks 5km. Now find the distance between the man and his home and also find in which direction.
- 4 km north
- 5 km north-east
- 4 kilometer east-west
- 14 kilometer west
Explanation
Step 1: Use a coordinate system
Let’s put home at (0, 0).
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Walk 5 km east → new position: (5,0)
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Turn left (north) and walk 4 km → new position: (5,4)
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Turn left (west) and walk 5 km → new position: (0,4)
Step 2: Find the distance from home
Distance formula:√(x2 - x1) ^2 +( y2 - y1) ^ 2
Home:
Current:√0 -0) ^2 + ( 4 - 0 ^ 2
Step 3: Find direction
-
From home to current position → north
Last updated 11-03-2026
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