 The voyage then continued and at about midday on 22 August 1770, they reached the northernmost tip of the coast and, without leaving the ship, Cook named it Cape York.Leaving the east coast, Cook turned west and nursed his battered ship through the dangerously shallow waters of Torres Strait.Searching for a vantage point, Cook saw a steep hill on a nearby island from the top of which he hoped to see "a passage into the Indian Seas".