[lots snipped]
I've used them. Don't feel bad, most of us have long forgotten
trigonometry.

I remember the words to Alice Cooper's "18 and I like it" but I don't
remember where I put my car keys yesterday.

Strangely, I do remember trig.

But isn't it great to ask a question on a newsgroup and get a bunch of
great answers, instead of smart-aleck answers? I'm still reading them
before I post a serious reply, regarding take-off angle, vs. antenna
angle, and HAAT/HAG.

Good luck to you, Mr. President (the original poster, that is, Zachary
Taylor).

73,
KZ1O