Rajnikanth left his home for office in car. He drove 15 km straight towards North and then turned Eastwards and covered 8 km. He then turned to left and covered 1 km. He again turned left and drove for 20 km and reached office. How far and in what direction is his office from the home?

Options

A. 21 km West
B. 15 km North-East
C. 20 km North-West
D. 26 km North-West

Answer

C

Explanation

`AE=sqrt(AF^(2)+EF^(2))`
`=sqrt((B+BF)^(2)+(ED-FD)^(2))`
`=sqrt((16)^(2)+(12)^(2))=sqrt(256+144)`
`=sqrt(400)=20" km"`
So, his office is 20 km North-West