Remark
This will be a little late, but I'll answer it anyway. The more you see of the sine law, the clearer it will be.
Step One
Set up the sine Law.
[tex] \dfrac{Sin(x)}{12}=\dfrac{sin(75)}{22}[/tex]
Step Two
Substitute values
Sin(x) = ??
sin(75) = 0.9659
[tex] \dfrac{Sin(x)}{12}=\dfrac{0.9659}{22}[/tex]
Step Three
Cross multiply and Solve
22* Sin(x) = 12 * 0.9659
22* Sin(x) = 11.591 divide by 22
sin(x) = 11.591 / 22
sin(x) = 0.5269
Step Four
You have to know how to use the inverse of an angle to get the answer. I do it as my calculator would do it. If it doesn't work with yours, let me know.
x = sin^-1(0.5269)
2nd F
Sin^-1
(
0.5269
)
=
You should get 31.79 degrees.
