Which direction will you face if you start facing
west and make `(3)/(4)` of a revolution anti-clockwise ?
(Should we specify clockwise or anti-clockwise for this last question ? Why not ?)

Answer

To solve the question, we need to determine the final direction after making \( \frac{3}{4} \) of a revolution anti-clockwise from the west direction.

### Step-by-step Solution:

1. **Understand the Directions**:
- The four main cardinal directions are North, East, South, and West.
- If we visualize these directions on a circle:
- North (N) is at 0 degrees,
- East (E) is at 90 degrees,
- South (S) is at 180 degrees,
- West (W) is at 270 degrees.

2. **Starting Point**:
- We start facing West, which is at 270 degrees.

3. **Calculate \( \frac{3}{4} \) of a Revolution**:
- A full revolution is 360 degrees.
- To find \( \frac{3}{4} \) of a revolution, we calculate:
\[ \frac{3}{4} \times 360 = 270 \text{ degrees} \]

4. **Determine the New Direction**:
- Since we are making a turn anti-clockwise, we subtract the \( 270 \) degrees from our starting point (270 degrees):
\[ 270 - 270 = 0 \text{ degrees} \]
- 0 degrees corresponds to North.

5. **Final Direction**:
- After making \( \frac{3}{4} \) of a revolution anti-clockwise from West, we end up facing North.

### Conclusion:
The final direction you will face is **North**.