Answer
$r=60$
$x=30\sqrt 3$
Work Step by Step
$sin~θ=\frac{opp}{hyp}$
$sin~30°=\frac{30}{r}$
$\frac{1}{2}=\frac{30}{r}$
$r=30(2)=60$
$tan~θ=\frac{opp}{adj}$
$tan~30°=\frac{30}{x}$
$\frac{\sqrt 3}{3}=\frac{30}{x}$
$x=\frac{30}{\frac{\sqrt 3}{3}}=30\frac{3}{\sqrt 3}=\frac{90}{\sqrt 3}\frac{\sqrt 3}{\sqrt 3}=\frac{90\sqrt 3}{3}=30\sqrt 3$
