Answer:
∠ YZX ≈ 19.7°
Step-by-step explanation:
using the sine ratio in the right triangle.
sin YZX = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{XY}{YZ}[/tex] = [tex]\frac{7.5}{22.3}[/tex] , then
∠ YZX = [tex]sin^{-1}[/tex] ( [tex]\frac{7.5}{22.3}[/tex] ) ≈ 19.7° ( to 3 significant figures )