GATE Civil Engineering (CE) 2019 Shift 2 Solved Paper

A plane frame shown in the figure (not to scale) has linear elastic springs at node $\mathit{H}$. The spring constants are ${\mathit{k}}_{\mathit{x}}={\mathit{k}}_{\mathit{y}}=5\times {10}^5\mathit{k}\mathit{N}/{\mathit{m}}^3$ and ${\mathit{k}}_{\mathit{\theta }}=3\times {10}^5\mathit{k}\mathit{N}\mathit{m}/\mathit{r}\mathit{a}\mathit{d}$.For the externally applied moment of 30 kNm at node F, the rotation (in degrees, round off to 3 decimals) observed in the rotational spring at node H is ________