Answer: 3.7
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Explanation:
Check out the diagram below to see what's going on.
- a = 8.2 feet
- b = unknown
- c = 9 feet
Use the pythagorean theorem to find b
[tex]a^2 + b^2 = c^2\\\\b = \sqrt{c^2 - a^2}\\\\b = \sqrt{9^2 - (8.2)^2}\\\\b = \sqrt{81 - 67.24}\\\\b = \sqrt{13.76}\\\\b \approx 3.709 447\\\\b \approx 3.7\\\\[/tex]
The length is roughly 3.7 feet.
