A man walks 1 km to East and then he turns to South and walks 5 km. Again, he turns to East and walks 2 km. After this he turns to North and walks 9 km. Now, how far is he from his starting point?
- 7 km
- 5 km
- 4 km
- None of these
Explanation
Let's break down the man's movements:
East: 1 km + 2 km = 3 km
South: 5 km
North: 9 km
Net displacement in North-South direction = 9 km - 5 km = 4 km (towards North)
The man is 3 km East and 4 km North of his starting point. To find the distance from the starting point, we use the Pythagorean theorem:
Distance = √(3² + 4²) = √(9 + 16) = √25 = 5 km
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