Question

A man walks 5 km towards the north, then turns right and walks 3 km, then turns right again and walks 5 km. How far is he from his starting point?

• A. 3 km
• B. 5 km
• C. 8 km
• D. 13 km

Hint:

Opposite north and south legs of equal length cancel, leaving the east displacement.

Answer 1

The Correct Option is A

Coordinate check.
Start at $(0,0)$: north to $(0,5)$, east to $(3,5)$, south to $(3,0)$. Distance $=\sqrt{3^2+0^2}=3$ km.
\[\boxed{3\ \textrm{km}}\]