Rebecca Leigh Kelly had been drinking before taking the tablet and scaling the tree, according to information given out at the opening of the inquest in Leeds.
It is believed the 24-year-old, who was a freelance security worker, had recently moved to Leeds from Lincolnshire.
A statement read out in court said that she had intended to go to Sheffield for a night out with friends but had missed her train.
Instead she and a friend decided to go out in Leeds and were in the Hyde Park area when the incident occurred.
The accident happened after the pair stopped outside a house on Moorland Road.
The statement said: “They decided to climb a tree to around 13 metres in height. Miss Kelly slipped and fell to the ground.
“She was taken to Leeds General Infirmary by ambulance, where her death was confirmed in the intensive care unit at 7.50am on September 8.”
The inquest was adjourned for further inquiries.