Question

15) A, B, C, D, E and F are towns situated as follows. * A is 30 km east of D * C is 20 km east of E * F is 10 km west of B * D is 10 km south of F * A is 10 km north of C How far would you need to travel to get from B to E?​

Answer 1

Option D: 20km South

Explanation:

Lets say A = (0, 0)

• Finding B:

A is 30km East of D which makes D = (-30, 0)

D is 10km South of F which makes F = (-30, 10)

F is 10km West of B which makes B = (-20, 10)

• Finding E:

A is 10km North of C which makes C = (0, -10)

C is 20km East of E which makes E = (-20, -10)

• Finding the answer:

Find distance from B = (-20, 10) to E = (-20, -10)

1. Cancel equivalent values:

x of B = (-20) and x of E = (-20)

Remove x from equation.

2. Solve for answer:

B = 10 and E = (-10)

Find the difference: (-10) - 10 = (-20)

Conclusion:

South translates to negative on a graph making the answer 20km South

Hope this helped :)