Answer
$r=\frac{64\sqrt 3}{3}$
$x=\frac{32\sqrt 3}{3}$
Work Step by Step
$sin~θ=\frac{opp}{hyp}$
$sin~60°=\frac{32}{r}$
$\frac{\sqrt 3}{2}=\frac{32}{r}$
$r=\frac{32}{\frac{\sqrt 3}{2}}=32\frac{2}{\sqrt 3}=\frac{64}{\sqrt 3}\frac{\sqrt 3}{\sqrt 3}=\frac{64\sqrt 3}{3}$
$tan~θ=\frac{opp}{adj}$
$tan~60°=\frac{32}{x}$
$\sqrt 3=\frac{32}{x}$
$x=\frac{32}{\sqrt 3}\frac{\sqrt 3}{\sqrt 3}=\frac{32\sqrt 3}{3}$
