Point A is 11m to the west of Point B. Point C is 8m to the south of Point B. Point C is 1m to the west of Point J. Point J is 12m to the south of Point H. Point D is 11m to the east of Point J. Point E is 6m to the south of Point D. Point F is 17m to the west of Point E. Point G is in the north of Point F and to the west of Point H.
What is the direction of Point F with respect to Point D?
Correct Answer :
South-west
Solution :
The correct answer is South-west.
Let us analyze the position of each point step-by-step using standard directional coordinates where East is along the positive x-axis, West is along the negative x-axis, North is along the positive y-axis, and South is along the negative y-axis.
1. Position of Point J and Point D:
Point D is 11m to the east of Point J.
If we place Point J at coordinates (0, 0), then Point D is located at (11, 0).
2. Position of Point E:
Point E is 6m to the south of Point D.
Starting from Point D at (11, 0) and moving 6m South gives the coordinates of Point E as (11, -6).
3. Position of Point F:
Point F is 17m to the west of Point E.
Starting from Point E at (11, -6) and moving 17m West:
x-coordinate of F = 11 - 17 = -6
y-coordinate of F = -6
So, Point F is located at (-6, -6).
4. Direction of Point F with respect to Point D:
Point D is at (11, 0) and Point F is at (-6, -6).
To go from Point D to Point F:
- We move left (West) because -6 < 11.
- We move down (South) because -6 < 0.
Therefore, Point F lies to the South-west of Point D.
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