Answer:
2.365 unit far away the center are the foci located.
Step-by-step explanation:
Given : If the eccentricity of an ellipse is 0.43 and the length of its major axis is 11 units.
To find : How far from the center are the foci located?
Solution :
The eccentricity of an ellipse is defined as
[tex]e=\frac{c}{a}[/tex]
Where, e is the eccentricity
c is the distance from center to focus
a is the distance between focus to vertex.
We have given,
Eccentricity of an ellipse is 0.43 i.e. e=0.43
The distance between focus to vertex is the half of the length of its major axis.
i.e. [tex]a=\frac{11}{2}[/tex]
Substitute in the formula,
[tex]0.43=\frac{c}{\frac{11}{2}}[/tex]
[tex]c=0.43\times \frac{11}{2}[/tex]
[tex]c=2.365[/tex]
Therefore, 2.365 unit far away the center are the foci located.
