Senior Constable David Cogger had earlier said searchers had been hampered by Mr Wyatt's failure to fill in logbooks at Department of Conservation huts, "so we've got no real starting point".
Mr Wyatt had a back country pass, which meant he could have stayed in any of the huts free, so there was no reason not to fill in the books.
Police were also unable to trace his banking records because of the public holidays in Britain.
The location of the body was below the Lake Constance Bluff, a 100m cliff, which was on Mr Wyatt's intended route between Blue Lake Hut and Waiau Pass.
He arrived in New Zealand on November 21 to hike the Te Araroa trail and last spoke to his parents, who live in Cornwall, on December 12.
Mr Cogger said he was in daily contact with Mr Wyatt's parents, who had been extremely concerned for their son's welfare. British police were providing support for the family.