Explanation: Sensory details are elements that the writers use to engage a reader's interest. They do that by employing some of all of the five senses (sight, sound, touch, smell, and taste). In the given passage we can see an example of two sensory details: "She ran a hand through her hair" which employs the sense of touch and "bobbed to a suitable length" which employs the sense of sight.
Arranged means for example, take this sentence, "My mother "arranged" my wedding." That means her mother helped organize or set up her wedding. It could also mean her mother arranged her a marriage she didn't agree to.