WILL MARK BRAINLIEST FOR CORRECT ANSWER!
What are the values of the variables in the triangle below? If your answer is not an integer, leave it in simplest form. The diagram is not drawn to scale.

the third option is the correct answer

Step-by-step explanation:

From the given right angle triangle,

The hypotenuse of the right angle triangle is 16√3

With m∠30 as the reference angle,

the adjacent side of the right angle triangle is x.

the opposite side of the right angle triangle is y.

To determine x, we would apply

the cosine trigonometric ratio.

Cos θ, = adjacent side/hypotenuse. Therefore,

Cos 30 = x/16√3

√3/2 = x/16√3

x = √3/2 × 16√3 = 3 × 8

x = 24

To determine y, we would apply

the Sine trigonometric ratio.

Sin θ, = opposite side/hypotenuse. Therefore,

Sin 30 = y/16√3

1/2 = y/16√3

y = 16√3 × 1/2

y = 8√3

The correct answer is B) x = 24; y =

Step-by-step explanation:

hypotenuse = 2 · shorter leg

              ( ÷ 2)

  longer leg = · shorter leg

                 x = · x   ( · )

                 x = 24

Soooo the answer is B)x = 24; y =    

hope this helps :)

step-by-step :

a is the right answer