I WILL CHOOSE BRAINLIEST ANSWER!

Answer: A. 9.4 units
Step-by-step explanation:
We could use the distance formula, but this problem asks us to use the Pythagorean theorem. This means we will "create" a right triangle and solve for the hypotenuse.
[1] First, we need to draw our triangle.
-> Please see attached.
[2] Now, we will count the length of the sides for the formula.
-> Please see attached.
[3] Lastly, we can use the Pythagorean theorem to solve for the missing side which also known as the hypotenuse. In this case, it is from point R to point S
a² + b² = c²
5² + 8² = c²
25 + 64 = c²
89 = c²
[tex]\sqrt{89}[/tex] = c
c ≈ 9.43
-> Which becomes 9.4 when rounded to the tenths place.
A. 9.4 units