Respuesta :

  • XW=12

[tex]\\ \sf\longmapsto tan60=\dfrac{WZ}{XW}[/tex]

[tex]\\ \sf\longmapsto \sqrt{3}=\dfrac{WZ}{12}[/tex]

[tex]\\ \sf\longmapsto WZ=12√3[/tex]

[tex]\\ \sf\longmapsto WZ=20.78[/tex]

Now

[tex]\\ \sf\longmapsto XZ^2=20.78^2+12^2[/tex]

[tex]\\ \sf\longmapsto XZ^2=431.8+144[/tex]

[tex]\\ \sf\longmapsto XZ^2=575.8[/tex]

[tex]\\ \sf\longmapsto XZ\approx 24[/tex]

Now

[tex]\\ \sf\longmapsto cos\Theta=\dfrac{XW}{XZ}[/tex]

[tex]\\ \sf\longmapsto cos\Theta=\dfrac{12}{24}[/tex]

[tex]\\ \sf\longmapsto cos\Theta=\dfrac{1}{2}[/tex]

Option C

shubhamchouhanvrVT

The value of the cosine for the given triangle XZW will be ( 12 / 24 ). the correct option is C.

What are trigonometric functions?

The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively utilized in various geosciences, including navigation, and solid mechanics.

Trigonometry is the branch of mathematics that set up a relationship between the sides and angle of the right-angle triangles.

The cosine ratio will be calculated by first calculating the perpendicular WZ.

WZ = 12 x tan60

WZ = 12 x √3

WZ = 12√3

Then calculate the hypotenuse of the triangle.

XZ² = 20.78² + 12²

XZ² = 430+ 144

XZ² = 574

XZ = 24

The cosine ratio will be calculated as:-

cosФ = Base / hypotenuse = 12 / 24.

Therefore, the value of the cosine for the given triangle XZW will be ( 12 / 24 ). the correct option is C.

To know more about Trigonometry follow

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