Final answer:
Correct option: D. 13 km towards South-East
To determine the direction in which Rahul is currently traveling, we need to combine the vectors representing each of his movements. After adding up the vectors, we find that Rahul is traveling in the direction of 13 km towards South-East.
Step-by-step explanation:
To determine the direction in which Rahul is currently traveling, we need to combine the vectors representing each of his movements. Let's start by drawing a diagram to visualize the situation.
Rahul first travels 100m towards the south.
Then he turns left and travels 75m, which can be represented as a vector towards the east. Next, he travels 45m towards the north, which can be represented as a vector towards the north.
Finally, he turns 45 degrees clockwise, which changes the orientation of his vector.
By adding up all the vectors, we can find the resultant vector, which represents Rahul's current direction of travel.
It should be noted that the diagonal directions like South-East and North-West are combinations of the cardinal directions.
After adding up the vectors, we find that Rahul is traveling in the direction of 13 km towards South-East.