Answer:
∠ XYZ ≈ 72.9°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan XYZ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{XZ}{XY}[/tex] = [tex]\frac{13}{4}[/tex] , thus
∠ XYZ = [tex]tan^{-1}[/tex] ([tex]\frac{13}{4}[/tex] ) ≈ 72.9° ( to 1 dec. place )