A man moves from point $T$ 12 km due West and then 12 km due South to point $Q$. We need to find the bearing of $T$ from $Q$.
2025/4/11
1. Problem Description
A man moves from point 12 km due West and then 12 km due South to point . We need to find the bearing of from .
2. Solution Steps
First, visualize the movements. The man starts at , moves 12 km West, and then 12 km South to reach . This forms a right-angled triangle where the West and South movements are the legs, and the line connecting and is the hypotenuse. We are looking for the bearing of from , which is the angle measured clockwise from the North direction at point to the line connecting and .
The angle between the South direction at and the line is , where . Therefore, .
Since we want the bearing of from , we measure clockwise from North at point . Starting from North, we go to South, and then add the angle .
So, the bearing is .
3. Final Answer
A. 225°