I am facing North now. I take two left turns while walking, walk 30 m and 20 m respectively. Then I turn right and walk 20 m and then turning left walk 30 m. Then I turn left again and walk 80 m. In which direction am I from the starting point?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → South-East
Each turn is taken from the direction you are facing at that moment:
Facing North, a left turn is West: walk 30 m
Facing West, a left turn is South: walk 20 m
Facing South, a right turn is West: walk 20 m
Facing West, a left turn is South: walk 30 m
Facing South, a left turn is East: walk 80 m
Where you end:
East-West: \(30+20=50\) m West, then 80 m East, so 30 m East of the start
North-South: \(20+30=50\) m South, so 50 m South of the start
Being both south and east of the starting point puts you to its South-East.
