Question

THANK YOU , PLEASE INCLUDE EXPLANATION

Answer 1

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.

$\dfrac{Sin(x)}{12}=\dfrac{sin(75)}{22}$

Step Two

Substitute values

Sin(x) = ??

sin(75) = 0.9659

$\dfrac{Sin(x)}{12}=\dfrac{0.9659}{22}$

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.