Vikash is facing towards west and turns through `45^(@)` clockwise, again 180° clockwise and then turns through `270^(@)` anticlockwise. In which direction is he facing now?

Options

A. West
B. North-west
C. South
D. South-west

Answer

D

Explanation

From the Fig. it is clear that Vikash initially faces in the direction OP. Then on moving `45^(@)` clockwise, Vikash faces in the direction OQ. On further moving 180° clockwise, he faces in the direction OR.
Then, Vikashfinally faces in the direction OS after moving `270^(@)` anticlockwise.

From the basic direction diagram, it is clear that direction OS is South-west.
Therefore, Vikash is now facing South-west.
Clockwise directions : `45^(@) + 180^(@) = 225^(@)`
Anticlockwise direction : `270^(@)`
`therefore` The required direction= Clockwise direction + Anticlockwise direction `= 225^(@) + (- 270^(@)) = 225^(@) - 270^(@) = - 45^(@)`
i.e., `45^(@)` anticlockwise from initial position.
Therefore, the required direction is south-west.