Sensitive and sensible are both adjectives, but they have very different meanings.
A sensitive person is susceptible to the attitudes, feelings, or circumstances of others. He or she may also be quick to take offense.
On the other hand, a sensible person is one who has, uses, or shows good common sense or sound judgment.
Here are some examples:
"The ideal candidate for this position will be communicative and sensitive, able to accurately assess situations and react effectively."
"Don't be so sensitive! You shouldn't take everything so personally!"
"We liked her at the interview, but we wondered whether she was really sensible and mature enough for the job."
"Be sensible! If you quit your job now, will you be able to find abother one?"
It's very nice if a person is both sensitive and sensible, because he or she will often balance compassion and good judgment, making him or her a good friend, partner or colleague.