Any Sound from One Focus of an Ellipse Reflects Off

question 130

Multiple Choice

Any sound from one focus of an ellipse reflects off the ellipse directly back to the other focus. This property explains whispering galleries such as Statuary Hall in Washington, D.C. The whispering gallery shown in illustration has the shape of a semi-ellipse. Find the distance sound travels as it leaves focus F and returns to focus F'.

• A)63.2 meters
• B)33.5 meters
• C)31.6 meters
• D)32 meters
• E)31 meters

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Definitions:

Histograms

Graphical representations of the distribution of numerical data, where the data is grouped into bins or intervals.

Graphical Techniques

The use of plots, charts, and graphs to visualize, interpret, and analyze data.

Distribution

In statistics, it refers to the way in which values of a variable or a set of variables are spread or dispersed across a range of values.

Magnitude

A quantitative measure of size or extent, often used in context to describe the importance or severity of a variable or event.