Answer: 8.2m
Step-by-step explanation:
Let the hook that is 2m from the base represent a
Let the height of the flagpole represent b
The length of the rope (hypotenuse) is c
[tex]\begin{aligned}&a^{2}+b^{2}=c^{2} \\&2^{2}+8^{2}=c^{2} \\&4+64=c^{2} \\&\sqrt{68}=\sqrt{c}^{2}\end{aligned}\\c= 8.25m[/tex]
