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A man walks 1 km towards the east, then turns south and walks 5 km. Again he turns to the east and walks 2 km. After this he turns to the north and walks 9 km. How far is the man from his starting point?

A5 km ✓ Correct
B6 km
C6.5 km
D7 km
Correct answer: (A) 5 km
Explanation

The man is 5 km from the start.

Net eastward walk = 1 + 2 = 3 km.

Net northward walk = 9 - 5 = 4 km.

Straight distance = sqrt(3^2 + 4^2).

= sqrt(9 + 16) = sqrt(25) = 5 km.

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