A window is constructed with the top half of an ellipse on top of a square. The square portion of the window has a 44 inch base. If the window is 50 inches tall at its highest point, find the height, h, of the window 8 inches from the center of the base. h 50 in 8 in 44 in The height of the window 8 inches from the center of the base is h = inches. (Round to the nearest hundredth as needed)

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 46E
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A window is constructed with the top half of an
ellipse on top of a square. The square portion of the
window has a 44 inch base. If the window is 50
inches tall at its highest point, find the height, h, of
the window 8 inches from the center of the base.
50 in
8 in
44 in
The height of the window 8 inches from the center of the base is h =
(Round to the nearest hundredth as needed)
inches.
Transcribed Image Text:A window is constructed with the top half of an ellipse on top of a square. The square portion of the window has a 44 inch base. If the window is 50 inches tall at its highest point, find the height, h, of the window 8 inches from the center of the base. 50 in 8 in 44 in The height of the window 8 inches from the center of the base is h = (Round to the nearest hundredth as needed) inches.
Expert Solution
Step 1

Let the centre of the ellipse is situated on the origin.

And lenght of the major and minor axis of ellipse are 2a, 2b respestively.

Then, according the question

2a=44a=22

And

b+44=50b=6

Then, equation of ellipse

x2222+y262=1

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