Answer: [tex]\dfrac{39}{89}[/tex]
Step-by-step explanation:
Given: In triangle WXY,
∠Y = 90°, XW = 89 units, WY = 80 units and YX = 39 units.
According to trigonometry ,
Cosine of A [tex]=\dfrac{\text{side adjacent to A}}{\text{hypotenuse}}[/tex]
From the figure below,
[tex]\text{cosine of } \angle X=\dfrac{YX}{WX}\\\\=\dfrac{39}{89}[/tex]
Hence, required ratio = [tex]\dfrac{39}{89}[/tex]