Consider a window with a horizontal shading device with extends $4$ feet perpendicular to the window as shown

in the diagram below. The window faces $31$ West of South and the wall is $1$ foot thick. Assuming a solar azimuth

angle of $10$ East and an altitude angle of $60,$ calculate the following:

Tan$($ Profile $)=\frac{\text{T}\text{a}\text{n}(Alt)}{\text{C}\text{o}\text{s}(Az{z}_F)}$

The length of the shadow cast by the shading device on the window.

The percentage of the window that will be shaded.

The length of the direct sunlight on the floor.