The thumbstacks have an in-between distance of [tex]2\sqrt{5}[/tex] feet.
The distance between any focus and the center of the ellipse ([tex]c[/tex]), in feet, is described by the following expression:
[tex]c = \sqrt{a^{2}-b^{2}}[/tex] (1)
Where:
- [tex]a[/tex] - Major semiaxis length, in feet.
- [tex]b[/tex] - Minor semiaxis length, in feet.
If we know that [tex]a = 3\ft[/tex] and [tex]b = 2\,ft[/tex], then the distance between focus and center is:
[tex]c = \sqrt{3^{2}-2^{2}}[/tex]
[tex]c = \sqrt{5}[/tex]
The distance between the thumbstacks is described by this expression:
[tex]d = 2\cdot c[/tex]
[tex]d = 2\sqrt{5}\,ft[/tex]
The thumbstacks have an in-between distance of [tex]2\sqrt{5}[/tex] feet.
We kindly invite to check this question on ellipses: https://brainly.com/question/14281133
