Direction sense – “Pass the Ball” positions: A is 20 m north of B. B is 18 m east of C. C is 12 m west of A. If the ball was initially with B and is passed to C, from B’s starting point in which direction is C located?

Difficulty: Medium

Correct Answer: West

Explanation:


Introduction / Context:
This is a direction-sense puzzle about relative placement of three players A, B, and C on a plane. We must report the direction of C as seen from B’s original position at the moment the ball is passed from B to C.


Given Data / Assumptions:

  • A is 20 m north of B.
  • B is 18 m east of C (so C is 18 m west of B).
  • C is 12 m west of A (statement structure makes the set slightly inconsistent across all three constraints; we therefore rely on the minimally sufficient relation B–C for the query).
  • Required: direction of C from B at the pass instant.


Concept / Approach:
Use a coordinate frame. Place B at the origin for convenience. Directions: east = +x, north = +y. If B is 18 m east of C, then C is 18 m to the west of B along the negative x-axis with no north/south displacement.


Step-by-Step Solution:

Let B = (0, 0).Given “B is 18 m east of C” ⇒ C = (−18, 0).Vector from B to C is (−18, 0) i.e., due West.


Verification / Alternative check:
Any north/south offset would have appeared as “north of” or “south of.” Absent such text, the direction must be purely horizontal towards the west.


Why Other Options Are Wrong:

  • North-West / South-West imply vertical displacement not stated.
  • North or South contradicts the explicit east–west relation.
  • South is unrelated to the described offset.


Common Pitfalls:
Trying to force all three relational lines into a single consistent triangle; the question only needs B→C direction, which is unambiguous.


Final Answer:
West

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