Satish start from A and walks 2 km east upto B and turns southwards and walks 1 km upto C. At C he turns to east and walks 2 km upto D. He then turns northwards and walks 4 km to E. How far is he from his starting point ?

Options

A. 5 km
B. 6 km
C. 3 km
D. 4 km

Answer

A

Explanation

Required distance AE
`= sqrt((AF)^(2) + (EF)^(2))`
`= sqrt((4)^(2) + (3)^(2))`
`= sqrt(16 + 9) = sqrt(25) = 5` km