Respuesta :

avm616
it’s a 30-60-90 triangle
the side opposite of 60 would be the side that is root 3
the answer would be 5 times root 3

Answer:

x = 5[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex]

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2x = 10[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

x = 5[tex]\sqrt{3}[/tex]

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