How do you trust God if you can’t feel him around you?

You trust God the same way that you trust that you will have oxygen when you breathe. You can’t see oxygen or feel it emotionally (which is what most mean when they wonder why they can’t “feel” God) but every time you breathe, oxygen goes into your lungs and allows you to live until the next breath. It’s just a fact that oxygen is there when you breathe and that God is allows near.
All of us are going to experience valleys and mountaintops in our walk with God. In the valleys it can “feel” like God is far away. In these times we need to remind ourselves of the words of Jesus when He said, “I will never leave you or forsake you.” God does not go anywhere. Psalm 139 says that we can’t go anywhere to get away from God. He is wherever we go. These, like oxygen, are facts spoken to us by the most trustworthy source available, the mouth of God. So while science can prove that oxygen is always near us, the words of God can be trusted to be true even if we can’t “feel” the truth of them. God will give us mountaintop experiences of himself like He did for Moses, Elijah, Peter, James, and John, but it is in the valleys that He sustains with His word, the Bible.
Therefore, the way we trust Him when we can’t “feel” Him is to read and memorize his word. The Bible is full of people’s lives who trusted God when he felt close and when He didn’t feel close. The life of Moses is a good example. I doubt Moses felt God as closely as he did at the burning bush when he was talking to Pharaoh. But the fact remained that God had told Moses what to do, and God had said that He would be with Moses. It was a fact in Moses’s life, not a feeling only.
Faith in God and His word must stand in the gap of our emotional feelings about God. He is still our Savior, our King, and our Lord even if we don’t “feel” close to Him.