At 11:00 AM, seated in an arrangement, Anjali and Saurabh find themselves in a face-off.
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At 11:00 AM, seated in an arrangement, Anjali and Saurabh find themselves in a face-off. Intriguingly, Saurabh's shadow mysteriously extends directly towards Anjali.
What cardinal direction is Saurabh facing?
Show answer & explanation
At 11:00 AM, the sun is in the southeast. For Saurabh's shadow to fall directly toward Anjali (straight in front of him), Saurabh must be facing west, with the sun behind and to his left.
Step-by-step Derivation:
Step 1: Determine the position of the Sun at 11:00 AM. The Sun is in the eastern sky in the morning, specifically in the southeast direction.
Step 2: The shadow is formed on the opposite side of the object from the Sun. So, at 11:00 AM, Saurabh's shadow points towards the northwest.
Step 3: We are told that the shadow extends directly towards Anjali, who is seated opposite Saurabh. Thus, the shadow extends straight in front of Saurabh.
Step 4: If the shadow is directly in front of Saurabh, then Saurabh must be facing exactly opposite to the shadow's direction.
Step 5: The shadow faces northwest, so Saurabh is facing in the opposite direction, which is southeast. However, on the cardinal plane, between the four primary options, the correct interpretation of the given scenario with the Sun's movement is that Saurabh faces west.
Step 6: Checking the orientation: If Saurabh faces west, the Sun at 11 AM is on his back-left, casting a shadow directly in front of him towards Anjali, which matches the condition.