Answer:
[tex] x = \frac{2*\sqrt{3}}{3} [/tex]
Step-by-step explanation:
Reference angle = 30°
Opposite side = x
Adjacent side = 2
Apply the tan trigonometric function, thus:
[tex] tan (30) = \frac{opp}{adj} [/tex]
[tex] tan (30) = \frac{x}{2} [/tex]
[tex] 2 * tan (30) = x [/tex]
[tex] 2 * \frac{1}{sqrt{3}} = x [/tex] (tan 30 = 1/√3)
[tex] \frac{2}{sqrt{3}} = x [/tex]
Rationalize
[tex] \frac{2* \sqrt{3}}{sqrt{3} * \sqrt{3}} = x [/tex]
[tex] \frac{2*\sqrt{3}}{3} = x [/tex]
