If P is 45m northeast of Q and R is 45m northwest of Q then R is in wh...
R is 45m northwest of Q means that if we draw a line from Q to R, it would be at a 45-degree angle northwest of Q. Similarly, P is 45m northeast of Q means that if we draw a line from Q to P, it would be at a 45-degree angle northeast of Q.
To determine the direction of R with respect to P, we need to consider their positions in relation to Q and the angles at which they are located.
- Drawing a diagram:
Let's consider Q as the origin and draw a coordinate plane. We can place Q at the origin (0,0) and represent the distances using the x and y axes. P is located 45m northeast of Q, so its coordinates would be (45,45). R is located 45m northwest of Q, so its coordinates would be (-45,45).
- Analyzing the positions:
From the diagram, we can observe the following:
1. P has a positive x-coordinate (45) and a positive y-coordinate (45). This means that P is located in the first quadrant, which is northeast of the origin.
2. R has a negative x-coordinate (-45) and a positive y-coordinate (45). This means that R is located in the second quadrant, which is northwest of the origin.
- Determining the direction:
Since P is in the first quadrant (northeast) and R is in the second quadrant (northwest), we can conclude that R is west of P. West is the direction opposite to east, and since P is in the northeast, the opposite direction is west.
Therefore, the correct answer is option 'D' - West.