Resolving an Event card is done by a player other than the active player reading out the Story text on the card aloud, check what type of Event it is, and resolve the event. It is typically either a Choice or a Skill Test.
If any effect for any type of event gives a number surrounded by pluses, like "+13+", locate the correspondingly numbered Story card and place that in the Story slot under the player's Ship Board. The rest of the Story will be resolved later.