blurzzzz89
blurzzzz89 blurzzzz89
  • 26-03-2021
  • Mathematics
contestada

what is the value of y? ​

what is the value of y class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 27-03-2021

9514 1404 393

Answer:

  y = 8√3

Step-by-step explanation:

In the 30°-60°-90° "special" triangle, the ratio of sides lengths is ...

  1 : √3 : 2 = 8 : y : hypotenuse

In order for these ratios to be equal, we must have ...

  y = 8√3

__

If you want to solve this using your trig skills, you recognize that ...

  Tan = Opposite/Adjacent

  tan(30°) = 8/y

  y = 8/tan(30°) . . . . where tan(30°) = 1/√3

  y = 8√3

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