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

$\displaystyle{{\tan{{65}}}}^{\circ}=\frac{{14}}{{x}}\usepackage{cmbright}\Huge\$

Solve this equation for x:

$\displaystyle{x}\cdot{{\tan{{65}}}}^{\circ}={14}\usepackage{cmbright}\Huge\$

$\displaystyle{x}=\frac{{14}}{{{\tan{{65}}}}^{\circ}}\approx\frac{{14}}{{2.1445}}\approx{6.528}\usepackage{cmbright}\Huge\$

This rounds to 6.53.