Words of the Bible and the facts of nature come from the same source, from God himself, who chose to make himself known. There isn’t a third choice or someone could claim they have special revelation.
God is not revealed directly through the five senses. Consider this scene. -
If a physical entity with the appearance of personhood were to materialize on the white house lawn and while saying “I’m God” (loud enough that it was recorded) levitated a foot above the ground, would that constitute proof that God is not hidden?
As the secret service approached, this entity asked one agent to place his hand onto the entity’s shoulder which the agent did thus making the entity to disappear. Later, in the briefing, the agent said the shoulder garment felt ‘velvety’, anything else you noticed? ‘yes, as we approached this thing, there was an aroma of fruit, the closer we got the more pungent it become, much like orange blossoms’.