Lihan walks $8\text{m}$ towards South from his office to reach park. Then he takes left and walks $15\text{m}$ to reach traffic signal. Then he turns $90$ degree anti-clockwise direction and walks $8\text{m}$ to reach coffee shop, he takes left and walks $8\text{m}$ to reach home. Office is in which direction with respect to Lihan's home?

Let's plot Lihan's path step-by-step using Cartesian coordinates, assuming the office is at the origin $(0,0)$:
1. Office to Park: Walks $8\text{m}$ South $\to$ Park coordinates are $(0,-8)$.
2. Park to Traffic Signal: Turns left (facing East) and walks $15\text{m}$ $\to$ Traffic signal coordinates are $(15,-8)$.
3. Traffic Signal to Coffee Shop: Turns $90^{\circ }$ anti-clockwise (facing North) and walks $8\text{m}$ $\to$ Coffee shop coordinates are $(15,-8+8)=(15,0)$.
4. Coffee Shop to Home: Turns left (facing West) and walks $8\text{m}$ $\to$ Home coordinates are $(15-8,0)=(7,0)$.

Now, determine the direction of the Office $(0,0)$ relative to Home $(7,0)$:

* Home is on the positive x-axis, at a distance of $7\text{m}$ East from the office.
* Therefore, to look at the office from home, one must look towards the West.