I get that but given the distances involved and size of the objects. Above (possibly below) someone has suggested the use of a candle etc... I don't dismiss doing that but the metrics wouldn't add up. The darkened room would need to be the size of the world for the candle to represent the sun.
Coming back to the position on the earth, unless the light bends, as I can see both objects clearly in the sky... Although your input is more convincing at the moment