This example demonstrates how Table A can be updated using values from Table B.
UPDATE
Table_A
SET
Table_A.col1 = Table_B.col1,
Table_A.col2 = Table_B.col2
FROM
Target_Table AS Table_A
INNER JOIN Source_Table AS Table_B
ON Table_A.id = Table_B.id
WHERE
Table_A.col3 = 'cool'