Kunal walks 10 km towards North, From there, he walks 6 km towards South. Then, he walks 3 km towards East. How far and in which direction is he with reference to his starting point?

Options

A. 5 km West
B. 7 km West
C. 7 km East
D. 5 km North-east

Answer

D

Explanation

The movements of Karan are as shown in Fig. i.e. P to Q, Q to R and R to S.

P = Starting Point
S =End Point
PR = (PQ - QR) = (10 - 6) km
= 4km
Clearly, Sis to the north-east of P.
`therefore` Karan.s distance from starting point
`P=PS=sqrt(PR^2+RS^2)=sqrt(4^2+3^2)=sqrt(25)=5km`
Therefore, Karan is 5 km to the North-East of his starting point.