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Question

At the time of sunset, Lopa and Kritika are sitting facing each other. If the shadow of Lopa falls to the right of Kritika, in which direction is Kritika facing?

The correct answer is

North

Understanding Directions and Shadows at Sunset

This question involves understanding relative directions and how shadows behave at a specific time of day, which is sunset. We are given a scenario with two people, Lopa and Kritika, sitting facing each other, and information about where Lopa's shadow falls relative to Kritika.

Shadow Direction During Sunset

The position of the sun determines the direction of the shadow. During sunset, the sun is in the West. Therefore, the shadow of any object or person will fall in the direction opposite to the sun, which is the East.

  • Sun is in the West at sunset.
  • Shadows fall towards the East at sunset.

Analyzing Lopa's Shadow

We are told that Lopa's shadow falls to the right of Kritika. We know that Lopa's shadow falls towards the East (because it's sunset). This means that Kritika's right side is towards the East.

  • Lopa's shadow direction = East.
  • Lopa's shadow falls to Kritika's right.
  • Therefore, Kritika's right direction = East.

Determining Kritika's Facing Direction

Now we need to figure out which direction Kritika is facing if her right hand is pointing towards the East. Let's consider the standard directions:

  • If you face North, your right is East, and your left is West.
  • If you face South, your right is West, and your left is East.
  • If you face East, your right is South, and your left is North.
  • If you face West, your right is North, and your left is South.

Since Kritika's right is East, she must be facing North.

Verifying the "Facing Each Other" Condition

The question states that Lopa and Kritika are sitting facing each other. If Kritika is facing North, then Lopa must be facing South.

Let's check if Lopa's shadow falling East is consistent with her facing South:

  • Lopa is facing South.
  • The sun is in the West (sunset).
  • Lopa's shadow will fall towards the East.

This is consistent. Lopa's shadow falls East, and if Kritika is facing North, East is indeed to her right.

Based on the analysis, Kritika is facing North.

Time Sunset
Sun Direction West
Shadow Direction East
Given Lopa's shadow is to Kritika's right
Conclusion Kritika's right is East
Kritika's Facing North (since Right is East)

Final Answer Determination

Following the steps and logical deductions, Kritika's facing direction is North.

Revision Table: Sunset Shadow Direction

Time Sun Position Shadow Direction
Sunrise (Morning) East West
Noon (approx. 12 PM) South (in Northern Hemisphere) North (in Northern Hemisphere)
Sunset (Evening) West East

Additional Information: Relative Direction Puzzles

Direction and shadow puzzles often require combining knowledge of the sun's position at different times of day with understanding relative directions (left, right, front, back). Key points to remember:

  • Shadows are always opposite to the sun's position.
  • Knowing which direction a person's left or right hand points tells you which way they are facing. For example, if your right is East, you must be facing North.
  • If two people face each other, they face in opposite directions (e.g., North and South, East and West).

Practicing different scenarios with varying times of day (sunrise, noon, sunset) and different relative positions can help improve spatial reasoning skills needed for these types of questions.

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Important Questions from Direction and Distance

  1. Vijendra walks a certain distance, say X metres, from his home towards the west. Then he turns left and walks 23 metres. After that, he turns left and walks 36 metres. Then he turns left again to walk 23 metres. He finally turns left and walks 18 metres to reach his home. Find the value of X.
  2. Gaurav exits from the backdoor of his north-facing house and walks 25 m straight, then he takes a left turn and walks 36 m, then he turns left and walks 47 m. He turns left again and walks 36 m. How far and in which direction is he from his house now?

  3. Reeta is standing facing south-east. First, she turns 135° clockwise. After that, she turns 90 °  anticlockwise. Then she turns 45 °  clockwise, followed by a 135 ° anticlockwise  turn. In which direction is she facing now?

  4. Sahasra started running from her house towards the north. After 40 meters she turned left and ran for 75 meters. She then turned right and ran for 30 meters, and again turned right to run 75 meters. In which direction was she running finally?

  5. Srinija walked 9 km towards the west from her home, then turned towards the south and walked 11 km. Then she walked 13 km towards the east, and finally walked 4 km towards the west. How far is Srinija from her initial position?

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