Answer: 9.7
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Explanation:
See the diagram below.
The diagram shows we have a right triangle with these side lengths:
- a = 8 meters
- b = 5.5 meters
- c = unknown hypotenuse
We'll use the pythagorean theorem to find c
[tex]a^2 + b^2 = c^2\\\\c = \sqrt{a^2 + b^2}\\\\c = \sqrt{(8)^2 + (5.5)^2}\\\\c = \sqrt{94.25}\\\\c \approx 9.7082\\\\c \approx 9.7\\\\[/tex]
Mrs. Durham and Brett are about 9.7 meters apart.
