Answer:
Distance between A and B is 13.06 units(m)
Explanation:
We know that distance formula is:
d =
![√((x2 - x1)^2 + (y2 - y1)^2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bzw3565g5rv7wum6tjf23l5ufyrzo9h2ps.png)
Now we have to find distance between A and B: d(AB)
Given that:
A has coordinates (x1 , y1): (0, -8)
B has coordinates(x2 , y2): (4,-5)
By Applying given formula:
d(AB) =
![√((4-0)^2 + (-5-8)^2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/uh6dlmn91y7gs55cp281nl2gsj4t3zjlzu.png)
d(AB) =
![√((4)^2+(-13)^2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/35n7t7m195hiwiv8v01u0l2yppkazphszx.png)
d(AB) =
![√(16 + 169 ) \\√(185)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ug2efl4ay6b9i0glmuasganxwionyl3ew6.png)
d(AB) = 13.60 units
I hope it will help you!