A:
direction Facing The Polestar
B:
Direction Opposite To The Polestar
C:
Direction Keeping the Polestar To His Left
D:
Direction Keeping The Polestar To His Right
Explanation
The most convenient way for the person to reach his village is to walk in the direction keeping the Polestar to his left (Option C).
This is because the Polestar, also known as Polaris, is located close to the North Celestial Pole, which is the point in the sky directly above the Earth's North Pole. As a result, the Polestar appears to be almost stationary in the sky while all the other stars appear to rotate around it throughout the night.
By locating the Polestar, the person can determine the general direction of true north. Walking in the direction keeping the Polestar to his left will put him on a course heading in an easterly direction, which is the direction of his village (5 km east of his current position).
Alternatively, walking in the direction facing the Polestar (Option A) or in the direction opposite to the Polestar (Option B) would lead the person to walk either due north or due south respectively, which would not bring him closer to his village.
Walking in the direction keeping the Polestar to his right (Option D) would put the person on a course heading in a westerly direction, which would take him farther away from his village.