Sick days off work

I work in a hospital setting. This week I’m due to work 60 hours, 36 of said hours I’ve worked the past three days as 12 hour shifts.

I’m mentally and emotionally exhausted, and just over a year ago had a complete mental break down and was off work for over two weeks.

I’ve been nauseous, dizzy, been having palpitations over the last three days, on top of being exhausted. Is it unreasonable for me to call in sick?