James Packer's $2 billion tower at Barangaroo would literally be throwing shade at its competitor, documents show.

Crown Limited's proposed hotel, casino and apartment complex would extend a shadow as far as Sydney's only existing casino at Pyrmont, according to modelling lodged with the Department of Planning and Environment.

Of the four scenarios considered, the Crown tower would block some of Sydney's morning sun out as far as The Star during the June solstice, as indicated by the red outline.

During the same part of the day on March 21, the building would cast a shadow across Jones Bay wharf, which is about 550 metres away.