Answer:
XZ ≈ 14.4 cm
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos29° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{ZY}{XZ}[/tex] = [tex]\frac{12.6}{XZ}[/tex]
Multiply both sides by XZ
XZ × cos29° = 12.6 ( divide both sides by cos29° )
XZ = [tex]\frac{12.6}{cos29}[/tex] ≈ 14. 4 ( to 3 sig. figs )
The length of XZ is 14.48 cm.
Given that,
The side ZY is 12.6 cm and the angle is 29 degrees.
We have to determine,
The length of side XZ.
According to the question,
To determine the length of XZ following all the steps given below.
The length of side XZ is determined by using the following formula.
[tex]\rm Cos\theta = \dfrac{Adjacent \ side}{Hypotenuse}[/tex]
The side ZY is 12.6 cm and the angle is 29 degrees.
Substitute all the values in the formula,
[tex]\rm Cos\theta = \dfrac{Adjacent \ side}{Hypotenuse}\\\\Cos29 = \dfrac{ZY}{XZ}\\\\0.87 = \dfrac{12.6}{XZ}\\\\XZ = \dfrac{12.6}{0.87}\\\\XZ = 14.48[/tex]
Hence, The required length of XZ is 14.48 cm.
For more details refer to the link given below.
https://brainly.com/question/24770413
