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Jim is standing at the focus of whispering gallery.

Distance from the focus to the nearest wall is 6 feet.

Jims friend is standing at the other focus and it is 100 feet away the focus.

Draw the diagram for the situation:

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Observe the figure:

Distance between the foci is $\"\"$ .

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Distance between the focus and vertex is $\"\"$ .

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Find the height of the gallery $\"\"$ .

For the ellipse, $\"\"$ .

Substitute $\"\"$ and $\"\"$ .

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$\"\"$ .

The height of the gallery is $\"\"$ .

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The height of the gallery is $\"\"$ .