At the time of sunrise, Deepa and Anjum are sitting in a park with their backs facing each other. If the shadow of Deepa falls to the right of Anjum, then in which direction is Anjum facing ?
Explanation:
Let's break down the problem step-by-step to determine Anjum's facing direction. **Step 1: Determine the direction of the sun and shadows.** * The problem states it is 'sunrise'. At sunrise, the sun is in the East. * Shadows are always cast in the direction opposite to the sun. Therefore, at sunrise, all shadows fall towards the West. **Step 2: Identify the direction of Deepa's shadow.** * Deepa's shadow falls towards the West. **Step 3: Relate Deepa's shadow direction to Anjum's perspective.** * The problem states that 'the shadow of Deepa falls to the right of Anjum'. * From Step 2, we know Deepa's shadow is in the West. * Therefore, 'West' is 'to the right of Anjum'. **Step 4: Determine Anjum's facing direction based on her right being West.** * If Anjum is facing North, her right would be East. * If Anjum is facing South, her right would be West. * If Anjum is facing East, her right would be South. * If Anjum is facing West, her right would be North. * Since West is to Anjum's right, Anjum must be facing South. **Step 5: Verify consistency with Deepa's position (optional).** * Deepa and Anjum are sitting with their backs facing each other. This means they are facing opposite directions. * If Anjum is facing South, then Deepa must be facing North. * If Deepa is facing North, her right is East, and her left is West. Her shadow falls to the West (which is to her left). * Anjum is facing South, her right is West. Deepa's shadow (which is in the West) falls to Anjum's right. This is consistent with the problem statement. \nTherefore, Anjum is facing South. * **Option 1 (North):** If Anjum faces North, her right is East. This contradicts the condition that Deepa's shadow (West) is to Anjum's right. So, this is incorrect. * **Option 2 (South):** If Anjum faces South, her right is West. This perfectly matches the condition that Deepa's shadow (West) is to Anjum's right. So, this is the correct answer. * **Option 3 (East):** If Anjum faces East, her right is South. This contradicts the condition. So, this is incorrect. * **Option 4 (West):** If Anjum faces West, her right is North. This contradicts the condition. So, this is incorrect.