Directional Movement Calculation

This problem requires calculating the final displacement of a tourist from their starting point after a series of directional movements.

Tracking Tourist Movement Steps

We can track the tourist's position step-by-step using a coordinate system. Assume the starting point is the origin $(0, 0)$, East is the positive x-axis, and North is the positive y-axis.

• Initial Move: The tourist drives $20 \text{ km}$ East. The position becomes $(20, 0)$. The direction faced is East.
• First Turn: The tourist turns right from East, now facing South. They drive $6 \text{ km}$ South. The position becomes $(20, -6)$. The direction faced is South.
• Westward Travel: The tourist drives $6 \text{ km}$ West. The position changes by $(-6, 0)$. The new position is $(20 - 6, -6) = (14, -6)$. The direction faced is West.
• Second Turn: The tourist turns left from West, now facing South. They drive $4 \text{ km}$ South. The position changes by $(0, -4)$. The new position is $(14, -6 - 4) = (14, -10)$. The direction faced is South.
• Final Turn: The tourist turns right from South, now facing West. They drive $14 \text{ km}$ West. The position changes by $(-14, 0)$. The new position is $(14 - 14, -10) = (0, -10)$.

Final Position Analysis

The final coordinates are $(0, -10)$. This indicates a net movement of 0 km in the East-West direction and 10 km in the South direction relative to the starting point $(0, 0)$.

Therefore, the tourist is located $10 \text{ km}$ towards South from their starting point.