cos^2(X)=.79??
it´s not possible that cos^2(X)>1...
That is incorrect.
\(-1\le cos^2(X)\le1\\~\\ cos^2(X)=.79\\ cos(X)=\pm\sqrt{0.79}\)
acos(sqrt(0.79)) = 27.274728680412
\(X\approx 180n\pm 27.3^\circ \qquad n\in Z\)
cos^2(x)=.79 (=0.79) for x=0.48
edit: (0.48 rad x 180 deg) / Pi rad= 27.501974166279514 deg