Anuj starts walking towards East. After walking 15 m, he turns towards North. After walking 17 m, he turns towards West and walks 10 m. He then turns towards South and walks 5 m. How far and in which direction is he now from his initial position?

Options

A. 13 m, North-East
B. 15 m, South-West
C. 13 m, North-West
D. 15 m, South-East

Answer

A

Explanation

`Delta ABC` is right angled at C.
`therefore (AB)^(2) = (AC)^(2) + (BC)^(2)`
`rArr (AB)^(2) = (5)^(2) + (12)^(2) rArr AB^(2) = 25 + 144`
`rArr (AB)^(2) = 169 rArr AB^(2) = 13^(2)`
`rArr AB = 13 m`
Thus, Anuj is 13 m far and in North-East direction from his initial position.