A decorative glass pane above a doorway is constructed in the shape of the upper half of an ellipse. The glass pane has a width of 80 inches at the bottom base and a height of 20 inches at its center. Find the height of the glass pane 15 inches to the right of the center. Note: Illustrate the glass pane as a half-ellipse on the Cartesian Plane. Let the principal axis be the x-axis and its center at the origin.

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Q: Charles and Bernice (“Ray”) Eames were American designers who made major contributions to modern…

A: coffee table 90 in. long and 30 in with center at (0,0)So, 2a=90 and 2b=30a=45, b=15

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A: to find the vertex.

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A: Topic  =Geometry

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Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.