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vlabodo [156]
3 years ago
14

WILL MARK BRAINLIEST FOR CORRECT ANSWER!

Mathematics
1 answer:
kompoz [17]3 years ago
4 0

Answer: 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

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