Rahul travelled 14 km Southward then turned right and travelled 12 km, then again turned right and travelled 19 km. How far was Rahul from the starting point?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 13 km
Each turn is taken from the direction Rahul is facing at that moment:
Facing South, a right turn is West
Facing West, a right turn is North
Of the 19 km North, 14 km only cancel the walk South, so he ends \(19-14=5\) km North and 12 km West of the start. The straight-line distance is the hypotenuse of this right triangle: \(\sqrt{5^{2}+12^{2}}=\sqrt{169}=13\) km.