Mario Sepulveda has reached the surface, becoming the second miner to do so.
As he got closer to the top, rescue workers shouted down to him and he eagerly called back in return.
There was clapping and cheering as he was met by his wife Elvira.
In seemingly high spirits, he embraced the waiting rescue workers before leading them in a rousing chant.
Mr Sepulveda followed Florencio Avalos, the first of the 33 men to be pulled to fresh air and freedom in a missile-like escape capsule to the cheers of his family and countrymen about an hour ago.
Mr Avalos, wearing a helmet and sunglasses to protect him from the glare of rescue lights, smiled broadly as he hugged rescuers, then embraced Chilean President Sebastian Pinera.
Mr Avalos' wife, two sons and father looked on. His 7-year-old son Bairo sobbed, as did Chile's first lady, Cecilia Morel.
After he emerged from the capsule that was pulled out of a manhole-sized opening, bystanders cheered and clapped, then broke into a chant of "Chi! Chi! Chi! Le! Le! Le!" - the country's name.
Avalos gave a thumbs-up as he was led to an ambulance and medical tests after his more than two months deep below the Chilean desert - the longest anyone has ever been trapped underground and survived.
Avalos, the 31-year-old second-in-command of the miners, has been so shy that he volunteered to handle the camera rescuers sent down so he wouldn't have to appear on the videos that the miners sent up.
Minutes earlier, mine rescue expert Manuel Gonzalez of the state copper company Codelco grinned and made the sign of the cross as he was lowered into the shaft to the trapped men - apparently without incident. He was followed by Roberto Ros, a paramedic with the Chilean navy's special forces. Together they will prepare the miners for their rescue - expected to take as many as 36 hours for all to surface.
Pinera gave a triumphant speech after dispatching Roberto Rios, a Navy special forces paramedic, into the capsule to join the men below.
The president described how lovely it was to see Avalos' sons greet their father, especially young Bairo. "I told Florencio that few times have I ever seen a son show so much love for his father."
"This won't be over until all 33 are out," Pinera said. "Hopefully the spirit of these miners will remain forever with us ... This country is capable of great things."
The last miner out is also decided: Shift foreman Luis Urzua, whose leadership was credited for helping the men endure 17 days with no outside contact after the collapse. The men made 48 hours' worth of rations last before rescuers reached them with a narrow borehole to send down more food.
Janette Marin, sister-in-law of miner Dario Segovia, said the order of rescue didn't matter.
"This won't be a success unless they all get out," she said, echoing the solidarity that the miners and people across Chile have expressed.
The paramedics can change the order of rescue based on a brief medical check once they're in the mine. First out will be those best able to handle any difficulties and tell their comrades what to expect. Then, the weakest and the ill - in this case, about 10 suffer from hypertension, diabetes, dental and respiratory infections and skin lesions from the mine's oppressive humidity. The last should be people who are both physically fit and strong of character.
Chile has taken extensive precautions to ensure the miners' privacy, using a screen to block the top of the shaft from the more than 1,000 journalists at the scene.
The miners will be ushered through an inflatable tunnel, like those used in sports stadiums, to an ambulance for a trip of several hundred yards (meters) to a triage station for a medical check. They will gather with a few relatives in an area also closed to the media, before being taken by helicopter to a hospital.
Each ride up the shaft is expected to take about 20 minutes, and authorities expect they can haul up one miner per hour. When the last man surfaces, it promises to end a national crisis that began when 700,000 tons of rock collapsed August 5, sealing the miners into the lower reaches of the mine.
The only media allowed to record them coming out of the shaft will be a government photographer and Chile's state TV channel, whose live broadcast will be delayed by 30 seconds or more to prevent the release of anything unexpected. Photographers and camera operators are on a platform more than 90 metres away.
The worst technical problem that could happen, rescue coordinator Andre Sougarett told The Associated Press, is that "a rock could fall," potentially jamming the capsule partly up the shaft.
Panic attacks are the rescuers' biggest concern. The miners will not be sedated - they need to be alert in case something goes wrong. If a miner must get out more quickly, rescuers will accelerate the capsule to a maximum 3 metres per second, Health Minister Jaime Manalich said.
The rescue is risky simply because no one else has ever tried to extract miners from such depths, said Davitt McAteer, who directed the U.S. Mine Safety and Health Administration in the Clinton administration. A miner could get claustrophobic and do something to damage the capsule. Or a falling rock could wedge it in the shaft. Or the cable could get hung up. Or the rig that pulls the cable could overheat.
"You can be good and you can be lucky. And they've been good and lucky," McAteer told the AP. "Knock on wood that this luck holds out for the next 33 hours."
Mining Minister Laurence Golborne, whose management of the crisis has made him a media star in Chile, said authorities had already thought of everything.
"There is no need to try to start guessing what could go wrong. We have done that job," Golborne said. "We have hundreds of different contingencies."
As for the miners, Manalich said, "It remains a paradox -- they're actually much more relaxed than we are."
Rescuers finished reinforcing the top of the 622-metre escape shaft Monday, and the four-metre capsule descended flawlessly in tests. The capsule - the biggest of three built by Chilean navy engineers - was named Phoenix for the mythical bird that rises from ashes. It is painted in the white, blue and red of the Chilean flag.
The miners were to be closely monitored from the moment they're strapped in the capsule. They were given a high-calorie liquid diet donated by NASA, designed to keep them from vomiting as the capsule rotates 10 to 12 times through curves in the 28-inch-diameter escape hole.
A video camera in the escape capsule would watch for panic attacks. The miners will wear oxygen masks and have two-way voice communication.
Their pulse, skin temperature and respiration rate will be constantly measured through a biomonitor around their abdomens. To prevent blood clotting from the quick ascent, they took aspirin and will wear compression socks.
The miners will also wear sweaters because they'll experience a shift in climate from about 32C underground to near freezing on the surface after nightfall. Those coming out during daylight hours will wear sunglasses.
Engineers inserted steel piping at the top of the shaft, which is angled 11 degrees off vertical before plunging like a waterfall. Drillers had to curve the shaft to pass through "virgin" rock, narrowly avoiding collapsed areas and underground open spaces in the overexploited mine, which had operated since 1885.
Seconds before each miner surfaces, a siren will sound and a light will flash for a minute to alert doctors to an arriving miner.
After medical checks and visits with family members selected by the miners, the men will be flown to the hospital in Copiapo, a 10-minute ride away. Two floors were prepared where the miners will receive physical and psychological exams and be kept under observation in a ward as dark as a movie theater.
Chilean air force Lt. Col. Aldo Carbone said helicopter pilots have night-vision goggles but won't fly unless it is clear of the thick Pacific Ocean fog that rolls in at night.
Families were urged to wait and prepare to greet the miners at home after a 48-hour hospital stay. Manalich said no cameras or interviews will be allowed until the miners are released, unless the miners expressly desire it.
Neighbours looked forward to barbecues and parties to replace the vigils held since their friends were trapped.
Urzua's neighbors told the AP he probably insisted on being the last one up.
"He's a very good guy - he keeps everybody's spirits up and is so responsible - he's going to see this through to the end," said neighbor Angelica Vicencio, who has led a nightly vigil outside the Urzua home in Copiapo.
U.S. President Barack Obama praised rescuers, who include many Americans. "While that rescue is far from over and difficult work remains, we pray that by God's grace, the miners will be able to emerge safely and return to their families soon," he said.
Chile has promised that its care of the miners won't end for six months at least - not until they can be sure that each miner has readjusted.
Psychiatrists and other experts in surviving extreme situations predict their lives will be anything but normal.
Since August 22, when a narrow bore hole broke through to their refuge and the miners stunned the world with a note, scrawled in red pen, disclosing their survival, their families have been exposed in ways they never imagined. Miners had to describe their physical and mental health in minute detail with teams of doctors and psychologists. In some cases, when both wives and lovers claimed the same man, everyone involved had to face the consequences.
- AP, NZ Herald staff
Mario Sepulveda has reached the surface, becoming the second miner to do so.