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?

Difficulty: Medium

Correct Answer: East

Explanation:


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:

x: +40 + 20 − 20 = +40.y: +25 − 45 + 20 = 0.Net = (40, 0) ⇒ due East.


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

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