Respuesta :

Step-by-step explanation:

angle x=90°

xz=opposite

xy=adjacent

zy=hypotenuse

we neee to find acute angle

y°=(7/12)=0,58(3)

Applying the cosine ratio, CAH, the size of angle XYZ, to 1 decimal place is calculated as: 54.3°.

What is the Cosine Ratio?

To solve a right triangle by relating the adjacent side to the hypotenuse, the cosine ratio is applied, which is: cos ∅ = adjacent/hypotenuse.

Given the parameters:

  • ∅ = angle XYZ
  • Hypotenuse = 12 cm
  • Adjacent side = 7 cm

Apply the cosine ratio:

Cos (XYZ) = 7/12

Angle XYZ = cos^(-1)(7/12)

Angle XYZ = 54.3°

Learn more about the cosine ratio on:

https://brainly.com/question/15793827

#SPJ5