Commentators have difficulty with Isa. 45:15, especially in light of Isaiah clear view of God. For example:
8 “Remember this and stand firm,
recall it to mind, you transgressors,
9 remember the former things of old;
for I am God, and there is no other;
I am God, and there is none like me,
10 declaring the end from the beginning
and from ancient times things not yet done,
saying, ‘My counsel shall stand,
and I will accomplish all my purpose
(Isa. 46:8–10, ESV)
Lange explains "God who hides himself" in Isa. 45:15 as a continuation of the quote from nations foreign to Israel.
It seems to me, therefore, that the designation of God as מסתתר suits much better in the mouth of the heathen than of Israel.
Lange, J. P., Schaff, P., Nägelsbach, C. W. E., Lowrie, S. T., & Moore, D. (2008). A commentary on the Holy Scriptures: Isaiah (p. 497). Logos Bible Software.
S. M. Paul takes this a step further and sees the meaning as God being a shelter or hiding place based on the context and the meaning of the now with the same root סֵ֫תֶר.
The nations confess that, contrary to their previous understanding, the God of Israel is a God מסתתר. Although most commentators explain this term as meaning God who conceals Himself (see 54:8), in light of the clause immediately following: “O God of Israel, the Deliverer,” it is more likely that the nations are referring to God as a protector, as one who gives shelter to His followers; ...
Paul, S. M. (2012). Isaiah 40–66: Translation and Commentary (p. 266). William B. Eerdmans Publishing Company.
However, Psalm 13;1-2 and Isa. 59:1-2 are a little easier to understand. Face פָּנֶה in Herew is used to express presence. These two verses do not say that God is not present, but that his presence is hidden. It is not difficult to see that sin keeps us from acknowledging God's presence.
For example, look at the response to Jesus raising Lasarus:
Many of the Jews therefore, who had come with Mary and had seen what he did, believed in him, 46 but some of them went to the Pharisees and told them what Jesus had done. 47 So the chief priests and the Pharisees gathered the council and said, “What are we to do? For this man performs many signs.
(John 11:45–47, ESV)
Or, the response to the evidence of Jesus' resurrection:
11 While they were going, behold, some of the guard went into the city and told the chief priests all that had taken place. 12 And when they had assembled with the elders and taken counsel, they gave a sufficient sum of money to the soldiers 13 and said, “Tell people, ‘His disciples came by night and stole him away while we were asleep.’ 14 And if this comes to the governor’s ears, we will satisfy him and keep you out of trouble.” 15 So they took the money and did as they were directed. And this story has been spread among the Jews to this day.
(Matt 28:11–15, ESV)
Hear can have different meanings. God "does not hear" does not mean he does not hear the sound. It means God does not listen in the sense of responding positively to our requests. When our requests are contrary God's will, God will respond with his will, which to us seems like not listening.
In Rom. 1:18-24 Paul references "invisible attributes." These attributes can only be seen with a willing spirit. Thus, Jesus' statement:
For judgment I came into this world, that those who do not see may see, and those who see may become blind.” 40 Some of the Pharisees near him heard these things, and said to him, “Are we also blind?” 41 Jesus said to them, “If you were blind, you would have no guilt; but now that you say, ‘We see,’ your guilt remains.
(John 9:39–41, ESV)
The account of Jesus healing the blind man in John 9 is also an excellent example of this.