Tanya walks 9 m towards the West from her gate, then turns left and walks 40 m. In which direction must she now walk to go straight back to the gate?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → North-East
A left turn moves the facing direction one step anticlockwise (West → South). Find where she ends up from the gate; the way back is the opposite of that.
Facing West, 9 m: 9 m west of the gate
Turns left, now facing South, 40 m: 9 m west, 40 m south
She is south and west (South-West) of the gate, so to reach it she must move north and east at the same time
She must walk towards the North-East.
