One morning after sunrise, Nivedita and Niharika were talking to each other face to face at Dalphin crossing. Niharika's shadow was observed to be exactly to the right of Nivedita. In this situation, in which direction was Niharika facing?

Introduction:
This direction–sense question involves shadows, face-to-face positioning, and relative orientation. We are told that it is morning after sunrise and that the shadow of one person is exactly to the right of the other. Using the knowledge that morning shadows fall towards the West, and that the two people are facing each other, we must determine in which direction Niharika is facing.

Given Data / Assumptions:
• Time: Morning after sunrise.• Location: Dalphin crossing (a typical four-way crossing).• Nivedita and Niharika are standing face to face.• Niharika's shadow is exactly to the right of Nivedita.• We use the standard reasoning convention: in the morning, the Sun is taken to be in the East, so shadows fall towards the West.

Concept / Approach:
In the morning, the Sun is in the East and shadows are cast towards the West. The phrase "Niharika's shadow was exactly to the right of Nivedita" means that, from Nivedita's perspective, the direction West is on her right side. Once we know which direction lies on Nivedita's right, we can deduce which way she is facing. Since they stand face to face, we then infer Niharika's facing direction as the opposite of Nivedita's.

Step-by-Step Solution:
Step 1: In the morning, the Sun is in the East. Therefore, the shadow of any vertical object (or person) falls towards the West.Step 2: Niharika's shadow is to the right of Nivedita. Thus, from Nivedita's point of view, her right-hand side coincides with the West direction.Step 3: We now ask: When is West on your right? If you face North, your right side is East. If you face South, your right side is West.Step 4: Therefore, Nivedita must be facing South (since her right side is West).Step 5: The two women are facing each other. If Nivedita faces South, then Niharika, standing opposite her, must be facing North.Step 6: Hence, Niharika is facing the North direction.

Verification / Alternative check:
We can also reason by drawing a small diagram: mark the four directions at the crossing. Place Nivedita facing South so that her right side is West. Place Niharika opposite her facing North. Draw a ray from the East (Sun) passing behind Niharika to form a shadow towards the West. That shadow falls on the right side of Nivedita, matching the description. Any other starting orientation fails to align the right side with the Westward shadow.

Why Other Options Are Wrong:
If Niharika faced South, then Nivedita would face North and Nivedita's right would be East, not West. Facing East or West for Niharika would not produce the described arrangement with the shadow on Nivedita's right-hand side. "Data is inadequate" is incorrect because the combination of morning time, face-to-face positioning, and shadow direction is sufficient to deduce a unique answer.

Common Pitfalls:
Students sometimes accidentally place the Sun in the West because they think of sunset rather than sunrise. Others forget that the two people are face to face and try to assign the same facing direction to both. Always check carefully which side (left or right) a direction lies on relative to a given facing, and use a sketch if needed.

Final Answer:
In this situation, Niharika was facing towards the North direction.