Rajnish walks 12 kilometers towards north. From there he walks 8 kilometers towards south. Then he walks 3 kilometers towards east. How far and in which direction is he with reference to his starting point?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 5 kilometers North-East
Walks in opposite directions cancel each other, so the north and south walks are combined first. The final position and the starting point then form a right-angled triangle, and the distance is its hypotenuse.
12 km north and then 8 km south leave him \(12-8=4\) km north of the start
He then walks 3 km east
Distance from the start \(=\sqrt{4^{2}+3^{2}}=\sqrt{25}=5\) km
He is to the north and to the east of the starting point, so the direction is North-East
