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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!

1 Answer

3 votes

Answer: 8.2m

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) \\&√(68)=√(c)^(2)\end{aligned}\\c= 8.25m

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