A break in the weather on Wednesday allowed a rescue helicopter to resume its search for a Danish backpacker missing on Tasmania's snow-covered Cradle Mountain.

Inspector Brian Edmonds said improved conditions should also allow a specialist police team to be airlifted to the peak on Thursday.

He said the officers were highly skilled in vertical rescue and would search cliff areas.

The Westpac rescue helicopter has been grounded by low cloud, snow and rain since Tuesday but improved weather saw it rejoin the search from its Hobart base on Wednesday afternoon.

Kasper Sorensen, 21, has been missing on the mountain for almost a fortnight.

The young tourist stayed at a backpackers hostel in Launceston on July 2 and his last confirmed sighting was on the morning of July 5, when he was seen by bushwalkers in the Cradle Mountain area.

Police, volunteers and rangers have been searching the lower tracks and huts around the mountain since Monday.

"Weather throughout the day has improved with some cloud around the Cradle Mountain peak and snow on elevated areas," Inspector Brian Edmonds said.

Bushwalkers found Mr Sorensen's abandoned snow-covered backpack, containing a tent, camping equipment and his passport, on the summit. They reported the find to rangers on July 10 but police were not alerted until five days later.

State Tourism Minister Paula Wriedt on Tuesday launched an immediate investigation into the delay and said a review of procedures would be undertaken.

She said it appeared Mr Sorensen did not register his bushwalk.

Mr Sorensen's family in Denmark released a brief statement.

"As Kasper's closest relatives we would hereby like to express our sincere gratitude towards the rescue staff and volunteers who are helping in the search for Kasper," it stated.

"We are also very grateful for the continuing support and information provided by the involved authorities in Denmark and Tasmania."

Agnes Water - Town of 1770 Accommodation