Steady-state Heat Transfer through an Ice Shelf

Suppose there is an ice shelf 400 meters high, where the bottom of the ice shelf is -2ºC and the top of the ice shelf is -28ºC. The thermal conductivity of ice is $2.1 W{m}^{-1}{K}^{-1}$ . If the conductive heat transfer through the ice shelf is in a steady state, where the conductive heat flux is approximated by $\overrightarrow{{q}_{c}} = {q}_{0} \hat{k}$ , calculate the value of ${q}_{0}$ .

Hint: use Fourier's Law $\overrightarrow{{q}_{c}} = -k \nabla T$ .