I'm guessing your high school was probably a pretty good one; not many require Latin. I have mixed feelings about Latin, I think it's more like learning a programming language syntax, rather than a living breathing language that ties you to a people and their culture. I'm familiar with the argument that "learning Latin will make it easier to learn other (Romance) languages," but that argument is like saying that High School students should learn to drive a backhoe because that will make it easier to learn to drive an ice cream truck later. I never studied Latin, but I had no trouble following our commencement speech which was given in Latin, after having studied Spanish for many years. However that was the only occasion in my lifetime to make use of Latin, and I did so without explicitly studying it.
I think French and German are reasonable languages to choose for a number of fields; they put one in touch with significant literature in the original tongues, culinary terms, opera, dance, and a substantial body of German scientific work. While I recognize the importance of maths, and have made use of them in my career, I have not made connections with any body of people, cultures, history, cuisines, arts or the like through mathematics, and that opportunity, which may be achieved through languages, is in my opinion irreplaceable.
This is probably dropping in importance as we can expect very high performance translators in pocket devices in all future years, but the same can be said for mathematics and sciences, as we've seen with the progression from the abacus to pocket calculators to tools such as Mathematica
. There are some serious scholars who now argue that mathematics should be dropped entirely from the required curriculum. While I don't agree with that, there are indeed many subjects and skills that are neglected, including creativity, communications, leadership, and a more robust and generalized approach to problem solving than is taught in mathematics classes.