Step 1: Understanding the Concept
Adrenaline (epinephrine) is a catecholamine involved in the fight-or-flight response.
Step 2: Find the sources
It is secreted mainly by the chromaffin cells of the adrenal medulla. It is also released as a transmitter by sympathetic nerve fibres.
Step 3: Why the other options fail
The adrenal cortex makes steroid hormones, and parasympathetic fibres release acetylcholine.
Final Answer:
Adrenaline is released from the adrenal medulla and sympathetic nerve fibres.
\[ \boxed{\text{(A) }\text{adrenal medulla and sympathetic nerve fibres.}} \]