Question:  Hotham Alpine Resort is set on the slopes of a mountain that sits how far away from Melbourne ?
Context: Lake Mountain is a 1433 m mountain and cross-country ski resort that is located in Victoria, Australia; approximately 120 km from Melbourne.  It is the most popular ski resort in Australia in visitor numbers due to its proximity to the populous city of Melbourne, mainly from casual visitors.  Lake Mountain Alpine Resort is an Unincorporated area of Victoria surrounded by the Shire of Murrindindi. Dinner Plain is a town in Victoria, Australia, located on the Great Alpine Road, 13 kilometres from Mount Hotham Alpine Resort, and 375 kilometres from Melbourne.  At the 2011 census , Dinner Plain had a population of 143, yet has over 200 lodges and chalets for tourist accommodation. Mount Proctor is a mountain in British Columbia, Canada located near Fernie.  Scaling 2393 m , this limestone mountain is home to a very popular hiking trail.  The legend of Mount Proctor tells of a young Indian chief who could not decide whom to marry into the mountain.  The Three Sisters peak facing Mount Proctor is said to be the three maidens.  Before there was an Alpine resort at the Fernie Alpine Resort, there was an Alpine resort at Mount Proctor around 1960. The Rosa Khutor Alpine Resort (Russian: Ро́за Ху́тор , "Roza Khutor"; ] ) is an alpine ski resort in Krasnodar Krai, Russia, located at the Aibga Ridge of the Western Caucasus along the Roza Khutor plateau near Krasnaya Polyana.  Constructed from 2003 to 2011, it hosted the alpine skiing events for the 2014 Winter Olympics and Paralympics, based in nearby Sochi.  The resort is 50 km east of the Black Sea at Sochi; the majority of the slopes at Rosa Khutor face northeast, with the backside slopes facing southwest. Cardrona Alpine Resort is an alpine resort in New Zealand's South Island.  The ski field ranges from 1,260m to 1,860m.  The distribution of slopes is 25% beginner, 25% intermediate, 30% advanced and 20% expert.  There are 2 detachable quad chairlifts, 1 fixed-grip quad chairlifts, 1 detachable express chondola, 3 surface conveyor learner lifts and 1 platter lift to service the halfpipes and big air jump.  Snowmaking supplements the 2.9m average annual snowfall.  Freestyle Snowboarding and skiing are well catered for with 2 half pipes and 4 terrain parks.  There is also a "high performance centre" which trains more advanced skiers and snowboarders.  Families with infants and young children can use child care facilities provided in the Cardrona Nursey and Ski Kindy. Tabor Mountain Ski Resort, also known as Tabor Mountain Alpine Resort, is a ski resort located 20 km east of Prince George, British Columbia, Canada, adjacent to BC Hwy 16 on Mount Tabor. The Hotham Alpine Resort is an Australian ski resort, located in the Alpine region of Victoria.  Set on the slopes of Mount Hotham, the ski resort comprises an alpine village, situated at an altitude of 1750 m , making it the second highest resort village in Australia after Charlotte Pass village, in New South Wales. Mount Hotham is a mountain in the Victorian Alps of the Great Dividing Range, located in the Australian state of Victoria.  The mountain is located approximately 357 km north east of Melbourne, 746 km from Sydney, and 997 km from Adelaide by road.  The nearest major road to mountain is the Great Alpine Road. Mount Torbreck is a mountain (elevation 1516 metres) in Victoria, Australia 150 km from Melbourne.  The mountain was listed as a place that could be declared as an alpine resort in The Alpine Resorts Act 1983, however no resort was ever developed on the site and it was recommended to be changed to a natural and scenic features reserve in 1994. The Falls Creek Alpine Resort is an alpine ski resort in the Hume region in northeastern Victoria, Australia.  It is located in the Alpine National Park in the Victorian Alps, approximately 350 km by road from Melbourne, with the nearest town Mount Beauty, approximately 30 km away.  The resort lies between an elevation of 1210 and above sea level, with the highest lifted point at 1780 m .  Skiing is possible on the nearby peak of Mount McKay at 1842 m , accessed by snowcat from the resort.
Answer: 357 km