The film, set at NASA in 1961, depicts segregated facilities such as the West Area Computing unit, where an all-black group of female mathematicians were originally required to use separate dining and bathroom facilities.
However, in reality, Dorothy Vaughan was promoted to supervisor of West Computing in 1949, becoming the first black supervisor at the National Advisory Committee for Aeronautics (NACA) and one of the few female supervisors.
Dorothy learns of the impending installation of an IBM 7090 electronic computer that could replace human computers.
After a successful launch and orbit, the space capsule has a heat shield problem.
Mission control decides to land it after three orbits instead of seven.
She quickly does so, only to have the door slammed in her face after delivering the results to the control room.
However, Harrison gives her a security pass so they can relay the results to Glenn together.