The aspect of communication that focuses on how something is said, and offers cues about the emotions, attitudes, and amount of power the speaker directs toward others, is describing the )

Answer is: relationship dimension.
There are many other types of communication: 
content -  new information, ideas that a communicator wishes to express.
intrapersonal - communication within yourself.
interpersonal - communication that occurs simultaneously between two people.
mediated -  communication that is carried out using some channel other than those used in face-to-face communication.