Trust Model

I am still having trouble with the trust concept being able to feel that for someone or believe they are trustworthy despite circumstances that would reflect otherwise. Trust is freedom from suspicion or doubt / reliability. If someone lies (their words not matching up with a neutral circumstance and description of a situation) there is an inconsistency and inability to rely on whether they are telling the truth or not. They get to be who they are and do what they do, however, how do we reconcile the inconsistency of their words and trust being built on reliability? Can you provide a model of a thought that leads to a feeling of trust and related actions if the circumstance is someone’s words/story not matching to actual facts/circumstance (i.e. Tom told me he came in the the shop and found the broken vase and does not know what happened, when the surveillance camera shows him grabbing the vase and throwing it against the wall)?