A narrative of trust can be constructed via an explicative dialog that views trust as both a technical and social construct. From a technical viewpoint trust can be measured in-terms of reliability and dependability, while from a socio standpoint trust can be viewed as (a) the Need to trust, trust based on Identification, trust based on Competence and finally trust based on Evidence. In this paper we will develop a socio-technical model of trust that utilises the concepts of responsibilities and roles so as to link the technical and social aspects of trust into a single inductive logical framework. A role can be viewed from a structural and functional perspective allowing us to express the concepts of behaviour and within a socio-technical system and to logically reason about. We will further develop a logic graphical model of responsibility using both causal and consequential modal operators. From this model we will explore the relationship between the elements of a tasks execution and the actions communication associated with a task and hence a responsibility. We will use this logical model to show how a argument of consistency can be constructed and from that a measure of trust within a socio-technical construct derived.