Respuesta :
Answer:
It's 39/89
Step-by-step explanation:
cos X = adjacent/ hypotenuse = 39/89
[tex]\frac{39}{89}[/tex] represents cosine of ∠X.
What is cosine?
'In a right-triangle, cos is defined as the ratio of the length of the adjacent side to that of the longest side which is the hypotenuse.'
According to the given problem,
In the right angle triangle ΔWXY,
Hypotenuse = XW = 89
Perpendicular = WY = 80
Base = YX = 39
We know,
cos∅ = [tex]\frac{Base}{Hypotenuse}[/tex]
⇒ cosX = [tex]\frac{39}{89}[/tex]
Hence, we can conclude that the ratio [tex]\frac{39}{89}[/tex] represents the cosine of ∠X
Learn more about trigonometric identities here: https://brainly.com/question/17976817
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