question_answer

Aman is facing towards west and turns through \[45{}^\circ \] clockwise, again \[180{}^\circ \] clockwise and then turns through \[270{}^\circ \] anticlockwise. In which direction is he facing with now.

A)  West                          

B)  North west

C)  South            

D)  South West

Correct Answer: D

Solution :

Clock wise direction\[=45{}^\circ +180{}^\circ =225{}^\circ \] Anti-clock wise direction\[=270{}^\circ \] \[\therefore \]The required direction = Clock wise direction + Anti clock wise direction    = \[225{}^\circ +\left( -270 \right){}^\circ =-45{}^\circ \] i.e., \[45{}^\circ \]anticlockwise from initial position. \[\therefore \]  The required direction is South-west.