A man walks 2 km towards East and then he turns to South and walks 6 km. Again he turns to East and walks 4 km, after this he turns to North and walk 14 km. How far is he from his starting point?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 10 km
The East–West moves and the North–South moves are added up separately. The two totals are the arms of a right-angled triangle, and its longest side is the distance from the starting point.
East: \(2+4=6\) km
North–South: 6 km South, then 14 km North, so \(14-6=8\) km North of the start
Distance \(=\sqrt{6^2+8^2}=\sqrt{100}=10\) km
