Question

a ferry sets sail from an island located ar (4,12) on a map. its destination is ferry landing b at (6,2). hiw far will the ferry travel if each unit on the grid is 0.5 mile​

Answer 1

Ferry will travel 5.099 miles.

Explanation:

Given:

The point a = (4,12)

The point b = (6,2)

Each unit on the grid is 0.5 mile​

To Find:

The Distance between the two points = ?

Solution:

Let the Distance between the two given points be X,

then we can find the value of X using Distance formula

X =
`√((x_2 -x_1)^2 +(y_2 -y_1)^2)`

Here

`x_1` = 4

`x_2`=6

`y_1` = 12

`y_2` = 2

Now substituting these values in the above formula we get

X =
`√((6-4)^2 +(2-12)^2)`

X =
`√((2)^2 +(-10)^2)`

X =
`√(4 +100)`

X =
`√(104)`

X = 10.1980

It is given that each unit on the grid is 0.5 mile​, so lets divide the value of X by 2

=>
`(10.1980)/(2)`

=>5.099