roberthagemanjr
roberthagemanjr roberthagemanjr
  • 16-01-2020
  • Mathematics
contestada

Which equation can we use to find the length of the side labeled x?

What is the value of x?

Which equation can we use to find the length of the side labeled x What is the value of x class=

Respuesta :

jimrgrant1 jimrgrant1
  • 16-01-2020

Answer:

see explanation

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex]

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{8\sqrt{3} }{x}[/tex] → D

and

[tex]\frac{8\sqrt{3} }{x}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

x[tex]\sqrt{3}[/tex] = 16[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

x = 16

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