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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

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BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

Sunburst Window A “sunburst” window above a doorway is constructed in the shape of the top half of an ellipse, as shown in the figure. The window is 20 in. tall at its highest point and 80 in. wide at the bottom. Find the height of the window 25 in. from the center of the base.

Chapter 12.2, Problem 69E, Sunburst Window A sunburst window above a doorway is constructed in the shape of the top half of an

To determine

To Find:

The height of the window from the center of the base.

Explanation

Given:

The length of the major axis is 80 and the length of the semi minor axis is 20.

The height of window from the base is x=25.

Approach:

The equation of an ellipse is,

x2a2+y2b2=1… (1)

The length of the major axis is 2a.

The length of the minor axis is 2b.

Calculation:

Since,

2a=80a=40

And b=20 which is the height of the window.

From equation (1) the equation of the ellipse is given by,

x2402+y2202=1y2202=1

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Chapter 12 Solutions

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