A villager went to meet his uncle is 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?
(A) 3 km in the North (B) 3 km in the East (C) 4 km in the East (D) 4 km in the West

Options

A. 3 km in the North
B. 3 km in the East
C. 4 km in the East
D. 4 km in the West

Answer

B

Explanation

The movements of the villager are as shown in Fig. i.e. P to Q and Q to R.

P = Starting Point
R = End Point
Clearly, `DeltaPRQ` is right angled at R.
So, `PQ^2 = PR^2 + QR^2`
`rArrPR^2=PQ^2-QR^2`
`rArrPR=sqrt(25-16)km=sqrt(9)km=3km`
Therefore, R is 3 km to the east of his initial position P.