Answer: The old oak tree and the granite boulder are [tex]\sqrt{26}[/tex] units apart.
Step-by-step explanation:
The distance between points (a,b) and (c,d) is given by :-
[tex]d=\sqrt{(c-a)^2+(d-b)^2}[/tex]
Given: The position of oak tree = (1, 10)
The position of granite boulder = (-5,9)
The distance between oak tree and granite boulder = [tex]\sqrt{(10-9)^2+(1-(-5))^2}[/tex]
[tex]=\sqrt{(1)^2+(1+5)^2}\\\\=\sqrt{1+25}\\\\=\sqrt{26}\text{ units}[/tex]
Hence, the old oak tree and the granite boulder are [tex]\sqrt{26}[/tex] units apart.
