Find the distance between the foci of an ellipse. The lengths of the major and minor axes are given respectively. 50 and 14

Question

asked Dec 25, 2023 109k views

1 Answer

Ton Torres · Answer 1 · 2023-12-31T04:59:52+0000

Solution:

The formula to calculate the distance between the foci of an ellipse is given below as

$\begin{gathered} c^2=a^2-b^2 \\ a=50 \\ b=14 \end{gathered}$

By substituting the values, we will have

$\begin{gathered} c^2=a^2-b^2 \\ c^2=50^2-14^2 \\ c^2=2500-196 \\ c^2=2304 \\ c=√(2304) \\ c=48 \end{gathered}$

Hence,

The final answer is

$\Rightarrow48$