question_answer

Direction: Select the missing number from the given responses.

I am facing east. I turn \[100{}^\circ \] in the clockwise direction and then \[145{}^\circ \] in the anti-clockwise direction. Which direction am I facing now?

A) East                             

B) North-east

C) North               

D) South-west

Correct Answer: B

Solution :

As shown in figure, the man initially faces towards east i.e., in the direction OA. On moving \[100{}^\circ \]clockwise, he faces in the direction OB. On further moving \[145{}^\circ \] clockwise, he faces in the direction OC. Clearly, OC makes an angle of \[(145{}^\circ -100{}^\circ )\] i.e., \[45{}^\circ \] with OA and as such points in the direction North-east.