Incorrect. The solution to this equation is given by:

$\displaystyle{x}={{\sin}}^{{-{1}}}{\left(\frac{{2}}{{3}}\right)}={{\sin}}^{{-{1}}}{0}.{\overline{{{6}}}}\usepackage{cmbright}\Huge\$

The correct answer is $\displaystyle{{41.81}}^{\circ}\usepackage{cmbright}\Huge\$ .