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South African Mathematics Olympiad

South Africa geometry

Problem

A hiker walks km East, then km North, then km West, then km South, then km East and finally km North. The hiker's straight-line distance in km from the starting point is (A) (B) (C) (D) (E)
Solution
Horizontal distance travelled: Vertical distance travelled: By Pythagoras, the straight-line distance from the starting point is thus km.
Final answer
B

Techniques

Distance chasingVectors