If A is to the south of B and C is to the east of B, in what direction is A with respect to C?

Step 1: Break Down the Problem

To determine the direction of point A with respect to point C, we need to visualize the positions of A, B, and C based on the given information.

Step 2: Relevant Concepts

1. Positioning:
   • A is located to the south of B.
   • C is located to the east of B.

Step 3: Analysis and Detail

1. Position both points:

   • Place B at the origin: $B(0, 0)$.
   • Position A to the south of B: $A(0, -y)$ where $y > 0$.
   • Position C to the east of B: $C(x, 0)$ where $x > 0$.

2. Determine the relative position:

   • A is directly below B along the y-axis, and C is directly to the right of B along the x-axis.
   • To find the directional relationship between A and C, we can visualize their coordinates on a Cartesian plane.

Step 4: Verify and Summarize

Since A is positioned at (0, -y) and C at (x, 0), A is located in the fourth quadrant relative to B and directly south of it, while C is located in the first quadrant, directly east relative to B. Therefore, to know the direction of A concerning C:

• From C (east), if we look towards A (which is south), we will end up pointing towards the southwest direction.

Final Answer

A is located to the southwest of C.