The biggest value of Latin in today's world is the existence of what are called Latin roots in English.

Latin (and Greek also) roots are building blocks which are 'clicked' together to form many, many English words. We don't have to learn the meaning of several hundred separate words, when we can learn a handful or so roots and discern what an unknown word, new to us, means by disassembling it into its component roots.

Examples: (Latin) vid/vis=see, audi=hear, equi=equal, voc=voice

          (Greek)  scope=see, micro=small, tele=far

Using these roots we can make up words like 'microscope', 'equivocal', 'auditorium', etc, etc.

So if we come across some new word like 'television' and break that down to the Greek 'far' and the Latin 'see', we can work out that a television is something that lets you see something that is far away. The word 'telescope' does the same thing using Greek-only roots and also lets you see something far away in a different manner.

In the past, it was considered bad-form to mix both Greek and Latin roots in the one word, but since the arrival of 'television', it seems we aren't as fussed about that any more.