Respuesta :

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] , then

∠ XYZ = [tex]tan^{-1}[/tex] ( [tex]\frac{13}{4}[/tex] ) ≈ 72.9° ( to 1 dec. place )