Position relative to start after a 6-leg walk: Child: 25 ft North → right 40 ft → right 45 ft → left 20 ft → left 20 ft → left 20 ft. Where is the child relative to the starting point?

Introduction / Context:We must find the final position relative to the origin after several orthogonal moves with alternating turns.

Given Data / Assumptions:

• N 25 → E 40 → S 45 → E 20 → N 20 → W 20 (from North turning left).
• Asked: bearing of the final point from the start.

Concept / Approach:Sum x and y components.

Step-by-Step Solution:

Verification / Alternative check:Sketching quickly shows the path ends directly to the right of the start on the same horizontal line.

Why Other Options Are Wrong:

• North/South/West imply nonzero y or negative x, which do not occur.

Common Pitfalls:Mistaking the final left from North as “West then 20” (it is West indeed, already included in the x total).

Final Answer:East