Acetylcholine is released from the pre-synaptic to the synaptic region and it binds to the post-synaptic receptors, causing a conformational change and allowing the channels to open. This lets sodium ions to rush into the post-synaptic cell, causing an action potential.
Here are some other facts you might wanna know:
For PNS, acetylcholine is the neurotransmitter that acts on both pre-synaptic and post-synaptic. Meaning it causes neurotransmition from the pre-synaptic to the post-synaptic and the post-synaptic to the organ. It binds to Muscarinic receptors at the organ level.
For SNS acetylcholine acts only on pre-synaptic. So it causes neurotransmition from pre-synaptice to post-synaptic. However in SNS, the neurotransmition at the organ is done by norepinephrine which bind to alpha or beta receptors.
This might be too much details, but with bio you never know! Hope it helps.