Yaibiren is standing 4 metres East of Rajib, who is 1 metre North of Achira . If Sahibah is standing 3 metres South of Achira, then in which direction of Yaibiren, is Sahibah ?

Options

A. North - East
B. North - West
C. South - East
D. South - West

Answer

To solve the problem step by step, we will visualize the positions of Yaibiren, Rajib, Achira, and Sahibah based on the given directions.

### Step-by-Step Solution:

1. **Identify the position of Achira**:
Let's place Achira at the origin of a coordinate system, which we can denote as point A(0, 0).

2. **Locate Rajib**:
Rajib is 1 meter North of Achira. Therefore, his position can be represented as:
- Rajib (R) = A(0, 0) + 1 meter North = R(0, 1).

3. **Locate Yaibiren**:
Yaibiren is 4 meters East of Rajib. Since Rajib is at (0, 1), we move 4 meters East:
- Yaibiren (Y) = R(0, 1) + 4 meters East = Y(4, 1).

4. **Locate Sahibah**:
Sahibah is 3 meters South of Achira. Since Achira is at (0, 0), moving 3 meters South gives us:
- Sahibah (S) = A(0, 0) - 3 meters South = S(0, -3).

5. **Determine the relative position of Sahibah to Yaibiren**:
Now we need to find the direction of Sahibah (S) from Yaibiren (Y).
- The coordinates of Yaibiren are (4, 1) and the coordinates of Sahibah are (0, -3).

6. **Calculate the differences in coordinates**:
To find the direction, we can calculate the differences in the x and y coordinates:
- Difference in x = 0 - 4 = -4 (which indicates West)
- Difference in y = -3 - 1 = -4 (which indicates South)

7. **Determine the direction**:
The direction from Yaibiren to Sahibah can be represented as moving 4 units West and 4 units South. This forms a right triangle where both legs are equal, indicating that the direction is at a 45-degree angle to the South and West axes.

8. **Conclusion**:
Therefore, Sahibah is in the South-West direction from Yaibiren.

### Final Answer:
Sahibah is in the South-West direction of Yaibiren.