Deepa was facing East. She turns `100^(@)` in the clockwise direction and then `145^(@)` in the anticlockwise direction. Which direction is she facing now ?

Options

A. East
B. North
C. South-west
D. North-east

Answer

D

Explanation

From the fig. it is clear that Deepa initially faces towards East i.e. in the direction OX. On moving `100^(@)` clockwise, she faces in the direction OY.
Then on further moving `145^(@)` anticlockwise direction, she faces in the direction OZ.

Therefore, OZ makes an angle of `(145^(@) - 100^(@))` i.e., `45^(@)` with OX that indicates the direction NorthEast.
Shortcut method :
Clockwise direction : `100^(@)`
Anticlockwise direction ( ) : `145^(@)`
`therefore` The required direction =` (100^(@) - 145^(@)) = - 45^(@)`
i.e. `45^(@)` anticlockwise from initial position.
[Note : .+. sign `rArr` dockwise direction and .-.sign `rArr` antidockwise direction.]