'Role' is demonstrated as the set of responsibilities that is necessary to accomplish a 'job'. In corporate terminology, it is demonstrated as a 'designation that denotes an affiliated set of skills, education, knowledge, or attitude' that an individual requires to possess to fit in that role.
In the given example, the act or skills displayed by the two men who have applied for a job exemplifies the concept of 'role'. It implies that they attempt to fit in the 'role'(job) by displaying the necessary skills to acquire that position. They display the 'level of authority' along with the skills that are necessary to perform the specific task and function in that 'role'.
I sharpened my skills under the mentorship of my coach. You need a noun to complete this sentence, and mentorship is the only noun here - the rest of the words are adjectives.
