Determining Building's Facing Direction

This problem requires logical deduction based on the position of the sun and the direction of a shadow.

Key Information Analysis

• Sun's Position: It's a morning sun, which means the sun is in the East.
• Shadow Direction: Shadows are cast opposite the light source. Since the sun is in the East, the shadow will fall towards the West.
• Ms. X's Observation: Her shadow falls to her right side, and the building is to her back as she exits.

Deduction Steps

1. Ms. X's Facing Direction: We need to find the direction Ms. X is facing so her shadow (falling West) is on her right.
   • If Ms. X faces North, her right is East. Shadow falls West (left). Incorrect.
   • If Ms. X faces South, her right is West. Shadow falls West (right). Correct.
   • If Ms. X faces East, her right is South. Shadow falls West (behind). Incorrect.
   • If Ms. X faces West, her right is North. Shadow falls West (in front). Incorrect.
   Therefore, Ms. X must be facing South.
2. Building's Position: The problem states the building is to her back as she exits. If she is facing South, the building must be North of her position.
3. Building's Facing Direction: Ms. X exits through the front door. If the building is North of her and she is facing South, she is walking away from the building's North side. This means the front door is on the North side of the building. Therefore, the building faces South.