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Pillar P is to the west of Pillar Q. Pillar R is to the east of Pillar Q. Pillar T is to the north of Pillar R. Pillar U is to the south of Pillar R. What is the position of Pillar Q with respect to Pillar U?
South
North-West
North
South-West
North-West
Visualize the Cartesian plane: Place Q at (0,0). P is West (-1,0), R is East (1,0), T is North (1,1), U is South (1,-1). Looking from U to Q means moving North-West.
Visualize the Cartesian plane: Place Q at (0,0). P is West (-1,0), R is East (1,0), T is North (1,1), U is South (1,-1). Looking from U to Q means moving North-West.
Establish Coordinates
Let Q be the origin (0,0). Pillar P is to the West of Q (-1,0). Pillar R is to the East of Q (1,0).
Place Vertical Pillars
T is North of R (1, 1). U is South of R (1, -1).
Determine Relative Direction
We need the position of Q (0,0) relative to U (1, -1). To go from U (1,-1) to Q (0,0), we move 1 unit West and 1 unit North. This results in the direction North-West.
A: South is incorrect because Q is North of U. C: North is incorrect because Q is also West of U. D: South-West is incorrect because Q is North, not South, of the latitude of U.
B is correct because moving from U (1, -1) to Q (0, 0) requires moving West (negative x direction) and North (positive y direction), which corresponds to North-West.
In direction problems, always fix a reference point as the origin (0,0) to avoid confusion when multiple movements are described.
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