Question

Lana was sitting somberly in her office. her face had an angry expression and she had a tear in her eye. one of her co-workers asked her how she was doing. lana responded, "i am fine." concerned, the co-worker asked, "are you sure?" lana again responded, "yes, there is nothing wrong, i am fine." which emotional intelligence ability does lana most likely need to develop?

Answer 1

I believe the answer is:  Ability to diagnose and recognize your own emotions

Diagnose and recognize our emotion is important in order to develop an awareness on what she currently feel could affect her behaviour. Suppressing such emotion without acknowledging  it could make Lana treated her works and social relation poorly without even realising it.