You are tring to access SQL Server with 'trust connection' from IIS server.

Option1 : create SQL Server login with proper permissions to your database and modify your ASP connection string to use 'SQL Server authentication' to access SQL Server.

connStr = "Provider=SQLOLEDB;Server=x.x.x.x;Database=" & _

dbname & ";UID=username;PWD=password"

Option2 : Grant 'NT Authority\Anonymous Logon' to access SQL Server with proper permission to your database.