Points are located as follows:

- D is 20 m south of A.
- C is 5 m east of D.
- E is 10 m north of C.
- F is 10 m east of E.
- G is 15 m south of F.
- X is 15 m west of G.
- B is 10 m east of A.
- Z is 10 m south of B.
- L is 10 m east of C.

What is the distance between point F and point L?

Question

Points are located as follows:

- D is 20 m south of A.
- C is 5 m east of D.
- E is 10 m north of C.
- F is 10 m east of E.
- G is 15 m south of F.
- X is 15 m west of G.
- B is 10 m east of A.
- Z is 10 m south of B.
- L is 10 m east of C.

What is the distance between point F and point L?

Accepted Answer

**Solution:**

1. Assign coordinates to each point by taking A as origin $(0,0)$.

- A = $(0,0)$
- D is 20 m south of A: D = $(0, -20)$
- C is 5 m east of D: C = $(5, -20)$
- E is 10 m north of C: E = $(5, -10)$
- F is 10 m east of E: F = $(15, -10)$
- B is 10 m east of A: B = $(10, 0)$
- L is 10 m east of C: L = $(15, -20)$

2. Calculate the distance between F $(15, -10)$ and L $(15, -20)$ using the distance formula:

$$	ext{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$

Substitute values:

$$= \sqrt{(15 - 15)^2 + (-20 + 10)^2} = \sqrt{0 + (-10)^2} = \sqrt{100} = 10 	ext{ m}$$

**Answer:** $10 	ext{ m}$

Answer

Answer

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