Study the following information carefully and answer the questions given below:

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 shortest distance between Point G and Point F?

The correct option is 18m.

Let us trace the locations of the points step-by-step using standard directional coordinates:

Step 1: Position of Points A, B, C, and J
- Let Point B be at the reference position (0, 0).
- Point A is 11m to the west of Point B: A = (-11, 0).
- Point C is 8m to the south of Point B: C = (0, -8).
- Point C is 1m to the west of Point J, which means Point J is 1m to the east of Point C: J = (1, -8).

Step 2: Position of Points H, D, E, and F
- Point J is 12m to the south of Point H, so Point H is 12m to the north of Point J: H = (1, -8 + 12) = (1, 4).
- Point D is 11m to the east of Point J: D = (1 + 11, -8) = (12, -8).
- Point E is 6m to the south of Point D: E = (12, -8 - 6) = (12, -14).
- Point F is 17m to the west of Point E: F = (12 - 17, -14) = (-5, -14).

Step 3: Position of Point G
- Point G is in the north of Point F (so its x-coordinate is -5).
- Point G is to the west of Point H (so its y-coordinate matches Point H's y-coordinate, which is 4).
- Therefore, Point G is located at (-5, 4).

Step 4: Calculate the shortest distance between Point G and Point F
Since Point G (-5, 4) and Point F (-5, -14) lie on the same vertical line (x = -5), the shortest distance between them is the vertical distance along the y-axis:

$\text{Distance}=4-(-14)=4+14=18\text{ m}$

Thus, the shortest distance between Point G and Point F is 18m.