Difficulty: Medium
Correct Answer: North East
Explanation:
Introduction / Context:
This problem requires summing displacements after a sequence of oriented turns to deduce the net direction from the origin.
Given Data / Assumptions:
Headings and legs in order: +N8, +E6, right from East ⇒ South 10, left from South ⇒ East 4, +N10, right from North ⇒ East 4.
Concept / Approach:
Resolve each leg into x (East +) and y (North +) components and add them.
Step-by-Step Solution:
x-total = 6 + 0 + 0 + 4 + 0 + 4 = 14.y-total = 8 + 0 − 10 + 0 + 10 + 0 = 8.Net vector (14, 8) lies in the North-East quadrant ⇒ direction = North-East.
Verification / Alternative check:
Scale drawing on grid confirms endpoint is to the East and North of the start.
Why Other Options Are Wrong:
South/South-East/North alone do not match simultaneous positive x and y displacement.
Final Answer:
North East
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