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A fence is 6 feet tall. A rope is attached to the top of the fence and fastened to the ground 5 feet from the base of the fence. What is the length of the rope?

Verified Answer :

timberninger

7.81 Feet

The length of the longest side(Hypotenuse) is the Square root of the Length of the sum of the 2 shorter side lengths squared

Length= \sqrt{6^2+5^2} =  \sqrt{36+25} =  \sqrt{61} = 7.81\(\sqrt{6^2+5^2} = \sqrt{36+25} = \sqrt{61} = 7.81\)

apologiabiology

makes a right triangle with legs legnth 6 and 5
a^2+b^2=c^2
c=legnth of rope
5^2+6^2=c^2
25+36=c^2
61=c^2

sqrt both sides
√61=c
aporox7.8 feet

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