Obstacles need to be seen in the right perspective. The financial crisis of the 1857 was seen as an obstacle by everyone except J.Rockfeller who analysed failures of investors and found our that the obstacle was the panic, not the economic crisis. He took advantage of that and his family became one of the richest on the planet. Other example: Rubin “hurricane” Carter was accused and sentenced to jail despite he was innocent. Instead of thinking the world was against him and get angry, frustrated and confused, he used all his 19 years in jail to study history, philosophy and law.
You also need to be creative and flexible, e.g. go for a plan B or a second choice that is for sure better than nothing and could even turn out to be the best one.
It’s also important to control our emotion and nerves in order to prevent them from blurring our judgments, by preparing ourselves to remain calm. NASA has been doing that for years for their astronauts.
Taking larger context into consideration might also help to better see and obstacle as not insurmountable as it firstly seemed.
Action and discipline is vital to overtake obstacle. Edison and his thousands attempts – that led him to great success – is one widely used example of that.
Similarly, it helps breaking down the journey into micro goals and look at the long term vision.
Big obstacle might hide big weakesses. Ghandi non-violent protest was based on the fact that Britain Military rule only responded to attacks with force.
And Alexander the Great managed to ride the wild Bucephalus furious horse by letting him firstly exhaust all his energy.
Accepting what you cannot change (nature, external factors) is also important. A fire that destroyed all the Edison notes was accepted by him and seen as an occasion to get rid off the rubbish and start over.