At 11:45, the minute hand is at the 9 (on a clock face), which corresponds to the direction South as per your description.
The hour hand at 11:45 would be a bit past the 11. Specifically, it would be approximately \( \frac{3}{4} \) of the way between the 11 and the 12.
To determine the direction of the hour hand, we can visualize or calculate its position relative to the 12 o'clock position. In terms of directions:
- 12 o'clock = North
- 1