Final answer:
User A needs to contact the certificate authority once to distribute A's public key to 50 other users using the public-key certificate authority.
Step-by-step explanation:
To distribute A's public key to 50 other users using the public-key certificate authority, user A needs to contact the certificate authority once.
The public-key certificate authority acts as a trusted third party that verifies and issues the public key certificates. When user A contacts the certificate authority, they will generate a certificate containing A's public key and digitally sign it.
User A can then distribute this certificate to the 50 other users, and they can use the certificate to verify A's public key and establish secure communication.