Relative home direction after a 3-leg path: Radhika: 50 m South, then 20 m East, then 30 m North. From this point, in which direction is her home?

Introduction / Context:
Compute net displacement and then the direction from the current point back to the origin (home).

Given Data / Assumptions:

• Total South = 50 m; total North = 30 m ⇒ net 20 m South.
• Total East = 20 m; no West ⇒ net 20 m East.

Concept / Approach:
Current position relative to home is (East 20, South 20). Therefore, home from current point is the opposite bearing: 20 West and 20 North ⇒ North-West.

Step-by-Step Solution:

Verification / Alternative check:
Equal magnitudes imply a 45° NW heading.

Why Other Options Are Wrong:
North suggests only y-change; East suggests only x-change; South-West is opposite.

Common Pitfalls:
Giving the direction of the current point from home instead of home from current point.

Final Answer:
North-West