I think taking Latin in high school is an excellent idea.
I took 4 years of Latin and 3 years of Greek in High School.
Latin is not difficult to learn at all. Easier, in fact, because it's just translation, and you don't have to worry about getting an accent correct because everyone who spoke it is long dead.
In fact, if you can, why not see if you child is interested in taking both Latin and German? I had a classmate in high school who did that. He said that Latin made learning other languages easier. (Other friends who took both Latin and French said the same thing.) He did really well with both, and still managed to do varsity sports, all AP classes, etc.
Latin really helped me with the SATs, because I spent years building up my vocabulary, instead of just a few weeks of cramming in test preparation courses. I was pretty good with English grammar when I finished junior high, but by the time I had just a year of Latin, I knew English grammar cold. Passive voice versus Active voice, infinitives, participles. English grammar becomes alive and interesting when you take Latin.
Now, when I went to college, there was a language requirement, so I did take a semester of German to satisfy it. (Actually, I took an intensive 4 week course that counted for a semester.)
Finally, when I went to grad school, there was a foreign language requirement. Since I had only had that little mini course of German and had already forgotten what little German I'd learned, I thought that I would have to take a foreign language course to progress in my Ph.D. in physics. As an afterthought, I told my academic advisor, "Well this is a long shot, but I did have 4 years of Latin in high school." Do you know what he said? "Well, you never know when you might have to read Newton's Principia in its original Latin, so I'll count that as satisfying the foreign language requirement."