A person starts from a point, walks 15 metres towards the East, then turns left and walks 10 metres, then turns right and continues walking. Toward which cardinal direction is the person facing now?

Introduction / Context:This is a classic direction-sense problem that checks whether you can mentally track turns and headings on a simple grid. You begin with an initial facing, then apply left/right rotations to determine the final direction.

Given Data / Assumptions:

• Start facing East and walk 15 m.
• Turn left (from East) and walk 10 m.
• Turn right once more and continue. We only need the resulting facing, not distance.
• Cardinal directions follow the usual right-angle grid: North, East, South, West.

Concept / Approach:Turning left or right changes facing by 90 degrees relative to the current heading. The path length after the final turn does not affect the heading itself. Keeping a small compass sketch in mind (or on paper) helps.

Step-by-Step Solution:

Verification / Alternative check:You can encode directions as ordered pairs or as a cycle (N → E → S → W). From East, a left turn goes to North; from North, a right turn returns to East.

Why Other Options Are Wrong:

• North: This would be true only after the first turn, not after the second.
• South or West: These require additional turns not present in the description.

Common Pitfalls:Confusing left/right with respect to the original start facing. Each turn is relative to the current direction.

Final Answer:East