[tex]\tan (\angle SPR)=\frac{8.2}{6.5} \longrightarrow \angle SPR=\tan^{-1} \left(\frac{8.2}{6.5} \right)[/tex]
[tex]\tan (\angle QPR)=\frac{8.2+5}{6.5} \longrightarrow \angle QPR=\tan^{-1} \left(\frac{8.2+5}{6.5} \right)[/tex][tex]\theta=\angle QPR-\angle SPR=\tan^{-1} \left(\frac{8.2+5}{6.5} \right)-\tan^{-1} \left(\frac{8.2}{6.5} \right)\\\\\theta \approx \boxed{12^{\circ} 11'}[/tex]
