A man 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. 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 the man are as shown

Clearly, `DF=BC=5" km"`
`EF=(DE-DF)=(9-5)=4" km"`
`BF=CD=2" km"`
`AF=AB+BF=AB+CD=(1+2)=3" km"`
`:.` Man.s distance from starting Point A,
`AE=sqrt(AF^(2)+EF^(2))`
`=sqrt(3^(2)+4^(2))=sqrt(25)=5" km"`