Correct. One way to set up a correct equation is to use the definition of tangent.

$\displaystyle{{\tan{{52}}}}^{\circ}=\frac{{o}}{{a}}\usepackage{cmbright}\Huge\$

Use a calculator for the value on the left and the triangle for the ratio on the right:

$\displaystyle{1.2799}\approx\frac{{y}}{{8}}\usepackage{cmbright}\Huge\$

Solve for y: $\displaystyle{y}\approx{8}{\left({1.2799}\right)}={10.2392}\approx{10.24}\usepackage{cmbright}\Huge\$