Ellipse Word Problem

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The ellipse is 5 meters across and 8 meters long with decorative fountains located at the foci. How far from the center should the fountains be located? (Rounded to the nearest hundredth). How far apart are the fountains?

I feel like this problem is a lot easier than what I'm making it.

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1 Answer

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Answer:

$$2a = 8 => a = 4$$

$$2b = 5 => b = 5/2$$

$$c = \sqrt{a^{2}-b^{2}}$$

Part I :The distance from the center to the focus:$$c = \sqrt{39}/2$$

Part II: The fountains are 2*c apart from each other$$2c = \sqrt{39}$$

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