I am terrible at ellipse
The base of an auditorium is in the form of an ellipse 200ft long and 100 ft wide. A pin dropped near one focus can clearly be heard at the other focus. Determine the distance between the foci to the nearest tenth of a foot. Show each step.

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  1. You have
    a = semi-major axis = 100
    b = semi-minor axis = 50
    a^2 = b^2+c^2
    where c is the distance from the center to the focus.

    Find c, and then the distance between the foci is 2c.

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