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A plane frame shown in the figure (not to scale) has linear elastic springs at node H. The spring constants are $k_x = k_y = 5 \times 10^5 kN/m$ and $k_{\theta} =3 \times 10^5 \: kNm/rad$.

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 ______

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