A girl starts walking in the south direction from a point U. She walks 50 metres, then turns to her right and walks 30 metres. She again turns right and walks 40 metres. Finally, she moves eastwards and goes 40 metres, stopping at point W. How far is the girl from her starting point U?
A5 root 10 m
B2 root 10 m
C10 m
D10 root 2 m ✓ Correct
Correct answer: (D) 10 root 2 m
Explanation
The girl is 10 root 2 m from her start.
From U(0, 0), 50 m south gives (0, -50).
A right turn faces west; 30 m gives (-30, -50).
A right turn faces north; 40 m gives (-30, -10); then 40 m east gives (10, -10).
Distance = root(10^2 + 10^2) = root 200 = 10 root 2 m.
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