Answer:
B. 8.6
Step-by-step explanation:
Given:
Draw a right angled triangle ABC as as shown below.
From the triangle [tex]\Delta ABC[/tex],
Calculate the number of units from A to C and from C to B, we get
AC = 7 units and BC = 5 units.
Now using Pythagorean Theorem,
[tex]AB^{2}=BC^{2}+AC^{2}\\AB^{2}=(7)^{2}+(5)^{2}\\AB^{2}=49+25\\AB^{2}=74[/tex]
Taking square root on both sides, we get
[tex]\sqrt{AB^{2}}=\sqrt{74}\\AB=8.6[/tex]
Therefore, the distance between points A and B rounded to the nearest tenth is 8.6 units.