yogirlsam765 yogirlsam765
  • 24-01-2021
  • Mathematics
contestada

In triangle WXY, the measure of angle Y=90 degrees, XW=89, WY=80, and YX=39. What ratio represents the cosine of angle X?

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JeanaShupp
JeanaShupp JeanaShupp
  • 25-01-2021

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]

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