OP: Destructive interference as illustrated here is the basis of active noise cancellation (ANC) in headphones.

In theory it is a microphone on the outside of the headphones that has the outside sound inverted and mixed into whatever is playing from the speakers inside the headphones. The undesired outside noise reaches inside the headphones at the same time as the inverted signal is played so that they cancel each other out.

In reality there is some more complexity, as always, but it’s the core principle.