Direction: Study the following information to answer the given questions:

Point P is 3m towards south of point Q who is 4m towards east of point R. Point S is 6m towards south of point R while point T is 8m towards west of point S. Point V is 7m towards west of point U who is 3m north of point T.

What is the direction of U with respect to P?

The correct option is West.

Step-by-Step Explanation:

Let us analyze the position of each point step-by-step using standard directional axes (North as positive Y, South as negative Y, East as positive X, West as negative X):

1. Positions of R, Q, and P:
Let Point R be at the origin (0, 0).
Point Q is 4m towards the east of Point R ⇒ Position of Q = (4, 0).
Point P is 3m towards the south of Point Q ⇒ Position of P = (4, -3).

2. Positions of S and T:
Point S is 6m towards the south of Point R ⇒ Position of S = (0, -6).
Point T is 8m towards the west of Point S ⇒ Position of T = (-8, -6).

3. Positions of U and V:
Point U is 3m north of Point T ⇒ Position of U = (-8, -6 + 3) = (-8, -3).
Point V is 7m towards the west of Point U ⇒ Position of V = (-8 - 7, -3) = (-15, -3).

4. Determining the direction of U with respect to P:
Position of P = (4, -3)
Position of U = (-8, -3)

Notice that both Point P and Point U have the exact same Y-coordinate (-3).
Since the X-coordinate of U (-8) is less than the X-coordinate of P (4), Point U lies directly to the left (West) of Point P horizontally.

Therefore, the direction of U with respect to P is West.