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

Answer:

7.2 miles

Step-by-step 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:

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

This gives:

$d = \sqrt{(x - (x + 6))^2 + (y -( y + 4))^2}$

Remove brackets

$d = \sqrt{(x - x - 6)^2 + (y - y - 4)^2}$

Evaluate like terms

$d = \sqrt{(-6)^2 + (-4)^2}$

$d = \sqrt{36 + 16}$

$d = \sqrt{52}$

$d = 7.2\ units$ -- approximated

From the question, we understand that:

$1\ unit = \ mile$

So:

$d = 7.2\ miles$