Question

There is a rope running from the top of a flagpole to a hook in the ground. The flagpole is 8 meters high, and the hook is 2 meters from its base. How long is the rope? If necessary, round to the nearest tenth.
ASAP Please!

Answer 1

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

$\begin{aligned}&a^{2}+b^{2}=c^{2} \\&2^{2}+8^{2}=c^{2} \\&4+64=c^{2} \\&\sqrt{68}=\sqrt{c}^{2}\end{aligned}\\c= 8.25m$