What is the really importance of Algebra, Trigonometry and Calculus in real life?

Unless you are going to be a mathematician, not much but that isn't really the point. They teach you how to think though problems and in my line of work (building design) that is very much a part of everyday life.

Depends on what you want to do with your life. If you want to do astronomy or geology/geography and you want to measure the distances to stars you'll need trigonometric parallax. If you want to measure the heights of hills and mountains you'll also need trigonometry. Trig is essential in almost all forms of physics as is calculus. Calculus is really important in economics in fact more so. Most high level physicists don't handle more than fourth order differential equations while a lot of economists use seventh order differential equations.

Meteorologists and computer programmers both use a lot of calculus and trigonometry as well as linear algebra and complex numbers. Also electrical engineers do too. Mechanical engineers and civil engineers also use calculus and trig.

You can't do calculus and trig without algebra so all of the above would be impossible without algebra.

That being said there are plenty of jobs and professions for people who aren't mathematically minded. Off the top of my head I can think of music, art, sports, and entertainment all of which you can probably do okay with even if you have poor mathematical abilities.

All life is real life; not just the part that you are familiar with.
Nearly all the technological advances and gadgets you take for granted relied at some stage in their design on algebra, trig and calculus to support the physics and engineering that made them possible.
Take away your mobile phone and all forms of communication, take away the TV, all forms of computer, all fashion, all music, all vehicles, all supermarkets, all water,all sewerage systems, all light and heating and much more.
Take them all away and go back to a simple rural life with just a horse and wooden branch to use as a plough; then you might begin to appreciate the absolutely vital role that mathematics has played and continues to play in the modern world.

But perhaps you are asking why is it important for YOU to learn these forms of mathematics now that society can take these developments for granted. First, I would recommend mathematics for teaching you how to THINK. Once you get to a certain level there are all sorts of fascinating puzzles and mysteries that can be presented and solved by mathematics. Without maths you are shut out of that world. Mathematics supplies you with "tools" to analyse and calculate that give you an advantage throughout life.
Nearly every job that you might enjoy will expect Maths and English qualifications as a basic requirement.
(You might also get some help to improve your written English as that will be of benefit in the future as well).
So, curtailing your study of maths could be a big mistake. You might take an interest in engineering when you are older; or perhaps you will find some part of science interesting; or you might turn out to be a rich stockbroker or banker. None of those professions regret the time they spent wresting with maths early in their careers.

I use Algebra and Trig almost every week for ordinary calculation tasks around the house and shop. I use Calculus much less but knowing its principles I can understand when it needs to be used - for time changing values. I am not employed where it would be used more.

These subjects are like Japanese. If you know Japanese, it can be very useful. If you don't know Japanese, you can very well get through life without it. The same is true of algebra, trigonometry, and calculus.

These subjects are important to SOCIETY, because without them, we would have no modern machines, no air transportation, no electrical grid, and only experimental medicine. However, these subjects are not important to YOU unless you plan to work in a field that involves quantitative thinking.

i'd say Calculus...BUT Calculus is basically nothing without Algebra and Trigonometry...so i really don't understand how to answer that question.