Respuesta :
Answer:
1. B
2.C
Step-by-step explanation:
A plot of land in the shape of a vertical ellipse. The equation of the ellipse is
[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1.[/tex]
If the foci are 8 feet from the center, then [tex]c=8.[/tex]
If the plot of land is 34 feet across the vertical axis, then [tex]2b=34\Rightarrow b=17.[/tex]
Use formula [tex]c=\sqrt{b^2-a^2}[/tex] (because ellipse is vertical, then b>a) to find a:
[tex]8=\sqrt{17^2-a^2}\Rightarrow a^2=289-64=225,\ a=15.[/tex]
Then the plot of land is 2a=30 ft across the other axis.
If b>a, the eccentricity of the ellipse is
[tex]e=\dfrac{c}{b}=\dfrac{8}{17}\approx 0.471.[/tex]
Answer: 1. B. 30
2. C.0.471
Step-by-step explanation: I got this right on Edmentum.
