If an elliptical whisphering room has a height of 30ft and a width of 100 feet, where should two people stand if they would like to whisper back and forth and be heard?
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major axis is horizontal standard form
(x-h)^2 / a^2 + (y-k)^2 / b^2 = 1
center : (h,k)
a => distance from center to vertices
b => distance from center to co vertices
c => distance from center to focus.
c^2 = a^2 - b^2
find the focus.
a = 50, b =30
c^2 = a^2-b^2
c = 40 => from the center 40 ft on both sides.
(x-h)^2 / a^2 + (y-k)^2 / b^2 = 1
center : (h,k)
a => distance from center to vertices
b => distance from center to co vertices
c => distance from center to focus.
c^2 = a^2 - b^2
find the focus.
a = 50, b =30
c^2 = a^2-b^2
c = 40 => from the center 40 ft on both sides.