Difficulty: Medium
Correct Answer: North– West
Explanation:
Introduction / Context:
The task is to determine net bearing from the start after a sequence of orthogonal moves with unspecified distances.
Given Data / Assumptions:
Sequence of headings: North → West → North → West.
Concept / Approach:
Combine qualitative components: North + West displacements yield a northwest resultant from the origin.
Step-by-Step Solution:
1) Move North (some distance).2) Left to West (some distance).3) Right to North (some distance).4) Left to West and arrive at school.Net: Positive North and negative West components ⇒ North–West of home.
Verification / Alternative check:
Vector addition with arbitrary positive distances shows resultant quadrant is NW.
Why Other Options Are Wrong:
NE/SE/SW represent different component signs; only NW matches two West and two North segments.
Common Pitfalls:
Equating last facing (West) with relative position; question asks relative direction from home.
Final Answer:
North– West
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