Question

the town halls of havertville and north town are shown on the map if the distance between grid lines represents 1 mile what is the distance between the two town halls? round your answer to the nearest tenth

Answer 1

7.2 miles

Explanation:

See comment for complete question.

Let:

`(x,y) \to Havertville`

Northtown will be represented as:

`(x+6,y+4)` --- i.e 6 units right and 4 units up

The distance both is calculated using:

`d = √((x_1 - x_2)^2 + (y_1 - y_2)^2)`

This gives:

`d = √((x - (x + 6))^2 + (y -( y + 4))^2)`

Remove brackets

`d = √((x - x - 6)^2 + (y - y - 4)^2)`

Evaluate like terms

`d = √((-6)^2 + (-4)^2)`

`d = √(36 + 16)`

`d = √(52)`

`d = 7.2\ units` -- approximated

From the question, we understand that:

`1\ unit = \ mile`

So:

`d = 7.2\ miles`