Question

Devin’s friend Ryan lives 2 blocks west and 5 blocks south of Devin. Devin’s friend Andy lives 7 blocks east and 2 block north of Devin. How far do Ryan and Andy live from each other? a. 16 blocks c. 11.4 blocks b. 12.7 blocks d. 13.1 blocks

Answer 1

Explanation:

Devin’s friend Ryan lives 2 blocks west and 5 blocks south of Devin.

Coordinates of Ryan:

2 blocks west = -2

5 blocks south = -5

= (-2,-5)

Devin’s friend Andy lives 7 blocks east and 2 block north of Devin.

Coordinates of Andy:

7 blocks east = 7

2 blocks north = 2

= (7,2)

The distance of Ryan and Andy:

RtoA = sqrt((2 + 5)^2 + (7 + 2)^2)

= sqrt(49 + 81)

= 11.4

Answer 2

≈11.4

Explanation:

We know that, Ryan lives 2 blocks west and 5 blocks south of Devin

=> Coordinate of Ryan: (-2,-5). Because:

• 2 blocks west = 2 unit to the left = -2

• 5 blocks south = 5 unit go down= -5

Andy lives 7 blocks east and 2 block north of Devin.

=>Coordinate of Andy: (7,2), because:

• 7 blocks east = 7 unit ti the right = 7

• 2 block north = 2 unit go up = 2

Hence, to find out the distance of Ryan and Andy, we use distance formula as below:

`\sqrt{(2+5)^(2) + ((7+2)^(2) }` ≈11.4