Awriter who publishes her feelings and insights taken from a journal she kept while mountain climbing in the himalayas has used a(n) style of writing.

Reflective

Explanation:

The Style of writing is the technique of writing. It is important because it serves as a guide for the author. It specifies how he chooses his type of words and how he puts them together and the tone in which he addresses his readers  to arrive at his object. The Reflective style of writing is regarded as being different from the usual academic styles because it more personal in nature. Other styles are: Narrative, Expository or Argumentative, Descriptive and Persuasive.

In the example given:

"A writer who publishes her feelings and insights taken from a journal she kept while mountain climbing in the Himalayas" has used a(n) style of writing

This type of writing is reflective because the writer describes an activity in which she practiced. It therefore becomes a personal experience and opinion, where she exposes her inner thoughts as she climbs. The writer most often exposes her feelings while also incorporating some sensory and imagery details, which should paint a scenario,  quite vivid for the interested reader.

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