Clock orientation logic: At 4:30, if the minute hand points East, in which direction does the hour hand point?

Introduction / Context:
We use relative hand angles and then apply a rotation so that the minute hand (normally at 6 at 4:30) is aligned to East.

Given Data / Assumptions:

• At 4:30, minute hand is at 6 (normally South).
• Given: minute points East ⇒ the whole clock is rotated so South maps to East (a +90° rotation).
• Hour hand at 4:30 lies halfway between 4 and 5 (direction SE in a normal clock).

Concept / Approach:
Rotate the hour-hand vector by +90°. A SE vector (down-right) rotated +90° becomes NE (up-right).

Step-by-Step Solution:

Verification / Alternative check:
Vector (1, −1) → (1, 1) under +90° rotation.

Why Other Options Are Wrong:
South/South–West/North assume incorrect or opposite rotation.

Common Pitfalls:
Forgetting that both hands rotate together when the frame is reoriented.

Final Answer:
North–East