3 years ago

What is the value of y?

Mathematics

1 answer:

alexira [117]3 years ago

4 0

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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What is the value of y? ​

What is the value of y?