Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse `x^2/16+y^2/9=1`

Explanation

To solve the problem of finding the coordinates of the foci, the vertices, the length of the major axis, the minor axis, the eccentricity, and the length of the latus rectum of the ellipse given by the equation \( \frac{x^2}{16} + \frac{y^2}{9} = 1 \), we will follow these steps:

### Step 1: Identify the standard form of the ellipse
The given equation is in the standard form of an ellipse:
\[ \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 \]
where \( a^2 = 16 \) and \( b^2 = 9 \).
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