Study the following information carefully and answer the given question.

Point B is 15m north of point A. Point C is 10m west of point B. Point D is 5m south of point C. Point E is 5m east of point D.

Point C is in which direction from Point E?

The correct option is north-west.

Step-by-step Explanation:

Let us trace the position of each point step-by-step starting from Point A on a standard 2D Cartesian plane where North is along the +y axis, South is along the -y axis, East is along the +x axis, and West is along the -x axis.

1. Position of Point B relative to Point A:
Point B is 15m North of Point A. If we place Point A at origin (0, 0), then Point B is at (0, 15).

2. Position of Point C relative to Point B:
Point C is 10m West of Point B. Moving 10m West from (0, 15) gives the coordinates of Point C as (-10, 15).

3. Position of Point D relative to Point C:
Point D is 5m South of Point C. Moving 5m South from (-10, 15) gives the coordinates of Point D as (-10, 10).

4. Position of Point E relative to Point D:
Point E is 5m East of Point D. Moving 5m East from (-10, 10) gives the coordinates of Point E as (-5, 10).

5. Determining the direction of Point C from Point E:
Point C has coordinates (-10, 15) and Point E has coordinates (-5, 10).
To move from Point E to Point C:
- We must move 5m to the West (from x = -5 to x = -10).
- We must move 5m to the North (from y = 10 to y = 15).

Therefore, Point C is in the north-west direction from Point E.