A man starts a journey by driving directly South for 30 km, then directly East for 40 km, and finally directly North for 60 km. What is the shortest distance between the points where he stopped and where he started?
Pls help!
2026-04-01 20:07:37.1775074057
logical reasoning problem
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1
Hint:
Supposing that the journey is in a plane (that is a good approximation of the Earth surface for such distances), starting from the point $(0,0)$ the journey can be represented as: $$ (0,-30)+(40,0)+(0,60)=(40,30) $$ Can you see why? And can you find the distance of the point $(40,30)$ from $(0,0)$?