They are both adverbs, and they are not really related to each other. Basically refers to something fundamental nature, e.g. "basically correct" or "Basically, they are simple people." Obviously means that something is plainly evident, e.g. "Obviously, something is wrong." e.g. = for example

It’s better to learn words in context. Example: You will obviously start feeling hungry if you never eat. Basically, your body needs food to survive. The word ‘obviously’ is describing ‘start feeling’ and the word ‘basically’ is describing ‘needs’ and they also both end with the suffix -ly. So both words are used as adverbs. Most of us understand that when a person doesn’t eat they usually become hungry. That’s what makes it ‘obvious’ - a situation that can be clearly understood by just about anyone. But to explain the reason why can get very complicated, but most of us can understand it in a ‘basic’ way - the simplist way to understand something. So you could say that we use ‘obviously’ when describing something that is naturally easy to understand and ‘basically’ when we want to make something more easy to understand.