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