Discussion Forum

A villager went to meet his uncle in another village situated 5 km away in the North-east direction of his own village. From there he came to meet his father-in-law living in a village situated 4 km in the south of his uncle's village. How far away and in what direction is he now?

Answer:

Explanation:

The villager moves from his village at O to his uncle's village at A pnd thereon to his father-in-law village at B.

Clearly, ΔOBA is right-angled at B. So, OA² = OB² + AB² 

=>OB² = OA² -AB²

=> OB =$\sqrt{25-16}$ km = $\sqrt{9} km$= 3 km. Thus, B is 3 km to th€ east of his initial position O.