Which direction is the door facing after 27 clicks?

Question

A revolving door at a fun fair faces north.
It starts moving in a clockwise direction.
With each click it turns through 45 degrees.
Each time it clicks back to north, it changes direction.
Which direction is the door facing after 27 clicks?

Answer 1

Since 45 degree clicks equates to 8 clicks per complete rotation of the door (returning to face the north), starting from north clockwise the door takes 8 clicks clockwise, 8 clicks anticlockwise, 8 clicks clockwise and finally 3 clicks anticlockwise finally making the door face in the South West direction.