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Sagot :
Answer:
2√3
Step-by-step explanation:
The shown triangle is a 30-60-90 special right triangle due to the right angle and the thirty degree angle(the other angle has to be 60 degrees).
The hypotenuse of a 30-60-90 triangle is twice the leg opposite the 30 angle. The leg opposite the 30 degree angle is √3, so x would be 2√3.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve for x ~
We can apply Trigonometric ratios here, since the given triangle is a right angled triangle
so,
[tex]\qquad \sf \dashrightarrow \: \sin(30) = \dfrac{ \sqrt{3} }{x} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{2} = \dfrac{ \sqrt{3} }{x} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = 2 \times \sqrt{3} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = 2 \sqrt{3} [/tex]
i hope you you understood
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