A south$-$facing window is $5$ ft wide by $8$ ft tall and is set back into the wall by $2$ ft$.$ Estimate the percentage of the window that is shaded on September $21$ at $2$:$00$ P$.$M$.$ solar time in Shreveport, LA$.$

Given Data:

Latitude $()$: $32\mathrm{.}47$ N

Surface azimuth $()$: $180($clockwise from north$)$

Declination $()$: $0\mathrm{.}0$

Hour angle $()$: $30\mathrm{.}0$