Shaan walks 1 km towards East and then he turns to South and walks 5 km. Again he turns to east and walks 2 km, after this he turns to North and walks 9 km. Now, how far is he from his starting point ?

Options

A. 3 km
B. 4 km
C. 5 km
D. 7 km

Answer

C

Explanation

The movements of Shaan are as shown in Fig.
i.e. P to Q, Q to R, R to S and S to T.
P = Starting Point
S = End Point

SU=QR = 5km
TU= (ST - SU) = (9 - 5) km = 4 km
QU=RS=2km
PU= PQ + QU = PQ + RS = (1 + 2) km = 3 km
Therefore, Shaan. s distance from starting point
`P=PT=sqrt(PU^2+TU^2)`
`=sqrt(3^2+4^2)=sqrt(25)=5km`