In a typical Persian architecture, on top of south side windows there is a structure called "Tabeshband" (shader), which controls sunlight in summer and winter. In summer when the Sun is high, Tabeshband prevents sunlight to enter rooms and keeps inside cooler. In the modern architecture it is verified that the Tabeshband saves about 20% of energy cost. Figure (1) shows a vertical section of this design at latitude of 36°. 0 N with window and Tabeshband. calculate the maximum width of the Tabeshband, X, and maximum height of the window , H in such a way that: i) No direct sunlight can enter to the room in the summer solstice at noon. ii) The direct sunlight reaches the end of the room on the opposite lower corner side of the window(indicated by the point A in the figure) in the winter solstice at noon. provided that the height of the room is 3m & width is 4.50m?