Foo - Trig, am I doing this right?

I have not done any Trigonometry since sophomore year! Well I sure wish I had because I just joined Honors Physics.
Can somebody confirm this?

http://home.comcast.net/~phantomcow3/Trig.jpg

So basically I need to calculate how far up and across one moves in a J and I axis plane, but nevermind that.
Basically the picture says what I need to know.

So to find the distance of side A, I do Sine of 40 * 1800?
So .75 * 1800 = 1350

It's actually cosine(40)=A/H

A = cos(40)*h = 1379

Never forget good Chief Sohcahtoa
Sine = Opposite/Hypotonuse
Cosine = Adjacent/Hypotonuse
Tangent = Opposite/Adjacent

So, therefore
Cosine 40 = A/1800
A = 1800 Cos (40) = 1378.88

Sine 40 = C/1800
C = 1800 Sin (40) = 1157.018

SohCahToa, I remember him now :). Thanks.
This class should be a good review of my math skills, theres some stuff I've never actually seen before here. Right now its all about vectors.

Use the law of sines.

A = 1378.88
B = 1157.02

1800/sin90 = C/sin40

1800/sin90 = A/sin50

Never forget good Chief Sohcahtoa
Or just think of limiting cases. If you know sin 0 = 0 and cos 0 = 1 and tan can go to very large numbers, then it is obvious which is which. (That's how I figure it out. For lack of regular use, I always forget which is which.) That rubric may or may not work for you. Figure out something that works for you.

You can even derive SohCahToa from scratch as needed. I used the limits jschen pointed out. I couldn't remember off the top of my head if it was sine or cosine, so I looked at what happens as you fold up that triangle. As A folds up in to B, it gets longer and longer until it equals B. What function gets larger and larger and hits 1 as the angle closes up? It's cosine! :)

YES! Cheif SohCahToa was my best friend in trig!

Also, remember that Chocolate Cucumbers Cause Sleeping Sickness and Stupid Students Can't Calculate Science :)

ie:
cos (a + b) = cos a cos b - sin a sin b
sin (a + b) = sin a cos b + cos a sin b