How long does it take the Sun to melt a block of ice at $0$C with a flat horizontal area $1\mathrm{.}0$ m$2$ and thickness $2\mathrm{.}0$ cm $?$ Assume that the Sun's rays make an angle of $31$ with the vertical and that the emissivity of ice is $0\mathrm{.}050.$

Express your answer using two significant figures.