A policeman left his police post and proceeded south $4\text{ km}$ on hearing a loud sound from point A. On reaching the place, he heard another sound and proceeded $4\text{ km}$ to his left to the point B. From B he proceeded left to reach another place C, $4\text{ km}$ away. In which direction he has to go to reach his police post?
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Draw a simple square outline as you trace the path: Down 4, Right 4, Up 4. This creates three sides of a perfect square. You are now standing to the right of your starting point, so you must look and walk West to get back home.
This question involves determining the correct direction based on the movements described. Let's break down the movements step by step to find the solution.
The policeman starts at his police post and travels south for 4\text{ km} to point A.
From point A, he turns left. Since he was traveling south, turning left means he now heads east, traveling 4\text{ km} to point B.
At point B, he turns left again. Now, since he was heading east, turning left makes him head north, traveling 4\text{ km} to point C.
To return to his original position (the police post), he needs to travel west from point C.
By following these directions, the policeman will arrive back at the police post. Hence, the correct direction he needs to go from point C is West.
