Question

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

Options

• 21 km West

• 15 km North-East

• 20 km North-West

• 26 km North-West

Answer 1

20 km North-West
Explanation:

In ΔAFE, AE = `sqrt(AF^2+EF^2)`
= `sqrt((AB+BF)^2+(ED-FD)^2)`
=`sqrt((16)^2+(12)^2)=sqrt(256+144)`
= `sqrt400= 20`km
So, his office is 20 km in North-West direction.