Read the given information carefully and answer the given question. B is 25 m south of A. C is 10 m east of B. D is 30 m north of C. E is 7 m east of D. X is 18 m south of E. M is 12 m south of X. C is 7 m west of M.

If point W is 3 m north of A, then what is the distance between B and W?

Question

Read the given information carefully and answer the given question. B is 25 m south of A. C is 10 m east of B. D is 30 m north of C. E is 7 m east of D. X is 18 m south of E. M is 12 m south of X. C is 7 m west of M.

If point W is 3 m north of A, then what is the distance between B and W?

Accepted Answer

**Solution:**

1. Assign coordinates to points for clarity. Let’s place point A at origin $(0,0)$.

2. Since B is 25 m south of A, coordinates of B are:
   $$B = (0, -25)$$

3. Point W is 3 m north of A, so:
   $$W = (0, 3)$$

4. To find the distance between B and W, use the distance formula:
   $$	ext{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$

5. Substitute the values:
   $$= \sqrt{(0 - 0)^2 + (3 - (-25))^2} = \sqrt{0 + (28)^2} = \sqrt{784} = 28 	ext{ m}$$

**Answer:** $28 	ext{ m}$

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