ellaflynn2005
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The following question find the value of the variables. If your answer is not an integer leave it in simplest radical form
The triangle is not drawn to scale.
Ox=1013, y = 30
Ox= 10, y = 30,13
Ox= 30/3, y= 10
Ox= 30, y = 10.73

The following question find the value of the variables If your answer is not an integer leave it in simplest radical form The triangle is not drawn to scale Ox1 class=

Respuesta :

Answer:

option 4

Step-by-step explanation:

using the sine/ cosine ratios in the right triangle and the exact values

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , sin30° = [tex]\frac{1}{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{20\sqrt{3} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2x = 20[tex]\sqrt{3}[/tex] × [tex]\sqrt{3}[/tex] = 20 × 3 = 60 ( divide both sides by 2 )

x = 30

and

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{20\sqrt{3} }[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2y = 20[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

y = 10[tex]\sqrt{3}[/tex]

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