Answer:
x = 31.8°
Step-by-step explanation:
Applying the Law of Sines, we have:
[tex] \frac{sin(x)}{12} = \frac{sin(75)}{22} [/tex]
Multiply both sides by 12
[tex] \frac{sin(x)}{12} \times 12 = \frac{sin(75)}{22} \times 12 [/tex]
[tex] sin(x) = \frac{sin(75) \times 12}{22} [/tex]
[tex] sin(x) = 0.5269 [/tex]
[tex] x = sin^{-1}(0.5269) [/tex]
x = 31.8° (nearest tenth)
