"By faith Enoch was translated that he should not see death; and was not found, because God had translated him: for before his translation he had this testimony, that he pleased God." (Hebrews 11: 5)
Before looking at the verse about faith pleasing God (which is the faith that He is fully satisfied in Jesus' sacrifice for our sins and we have His Son's standing in this life), we need to take a closer look at this wonderful person Enoch.
His name means "teacher", and we can learn from His example about what pleases God.
Let us look at the Old Testament reference to understand Him:
"21And Enoch lived sixty and five years, and begat Methuselah: 22And Enoch walked with God after he begat Methuselah three hundred years, and begat sons and daughters: 23And all the days of Enoch were three hundred sixty and five years: 24And Enoch walked with God: and he was not; for God took him." (Genesis 5: 21-24)
His life is a picture of every day of the year. "Walk" in the Bible, and specifically in Hebrews, speaks of identity.
Every day of our life, we are called to understand our new identity in Christ:
"15But not as the offence, so also is the free gift. For if through the offence of one many be dead, much more the grace of God, and the gift by grace, which is by one man, Jesus Christ, hath abounded unto many. 16And not as it was by one that sinned, so is the gift: for the judgment was by one to condemnation, but the free gift is of many offences unto justification. 17For if by one man's offence death reigned by one; much more they which receive abundance of grace and of the gift of righteousness shall reign in life by one, Jesus Christ." (Romans 5: 15-17)
"To whom God would make known what is the riches of the glory of this mystery among the Gentiles; which is Christ in you, the hope of glory:" (Colossians 1: 27)
"Herein is our love made perfect, that we may have boldness in the day of judgment: because as he is, so are we in this world." (1 John 4: 17)
When we believe that Jesus has done a perfect work, and the more that we grow in grace and knowledge of the Lord, our faith in all that He has done for us grows.
And that pleases God.