The diameter at the centre of the tower is 4 meters and the centre of the tower is 8 meters above the ground.
It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.
We have an equation of the hyperbola:
4x² − y² + 16y − 80 = 0
4x² − y² + 16y + 64 - 64 − 80 = 0
4x² - (y - 8)² = 16
[tex]\rm \dfrac{4x^2}{16} - \dfrac{(y-8)^2}{16} = 1[/tex]
[tex]\rm \dfrac{x^2}{2^2} - \dfrac{(y-8)^2}{8^2} = 1[/tex]
The above equation represents the standard form of the hyperbola.
a = 2
b = 4
The diameter at the centre of the tower = 2a = 2(2) = 4 meters
The centre of the tower; above the ground = 2b = 2(4) = 8 meters
Thus, the diameter at the centre of the tower is 4 meters and the centre of the tower is 8 meters above the ground.
Learn more about the hyperbola here:
brainly.com/question/12919612
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