A big room is constructed so that the ceiling is a dome that is semi-elliptical in shape. If a person stands in one focus and speaks, the sound that is made bounces off the ceiling and gets reflected to other focus. Thus, if two people stand at the foci (ignoring their heights), they will be able to hear each other. If the room is 40 m long and 10 m high, how far from the center should each of two people stand if they would like to whisper back and forth and hear each other? Round off your answer to two decimal places.

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