How do you think Langley employees reconcile the difference between the work they do that is innovative and advances humankind with the work they do that destroys it?

The correct answer is, Langley employees can reconcile the difference between the work they do that is innovative and advances humankind with the work they do that destroys it, the following way.

In the story of "Hidden Figures", Katherine Johnson and Dorothy Vaughan try to gain the respect of the men that work at the Langley offices. They can reconcile the positive and negative side of the work they do in recognizing that they create innovations and advancements that benefit humanity but if people in government want to use it to destroy, is a decision out of their hands. They do their work in a responsible and committed way to produce benefits and that is what they focus on.