Question

A south-facing, 2-m high window located at 40°N and 30°E is to be completely
shaded at solar noon on summer solstice, and completely sunlit at solar noon on
winter solstice. Find the required length of the overhang from the wall, f, and its
distance above the top of the window

Answer 1

We need to calculated the depth , for which we need to know the angle of sun's position at and with respect to that , we will calculate the depth.

So,

sun's angle at noon during summer solstice, and on winter solstice

Since , the overhang needs to completely shaded the window at solar noon on summer solstice,

angle of depression = 113.5 deg - 30 deg = 83.5 deg

angle of elevation = 6.5

height of window = 5 m

height of the overhang = 5 tan (6.5 )

= 0.57 m

now we will check for , other condition

'

angle of depression = 90 deg - 23.5deg  - 30 deg = 36.5 deg

angle of elevation = 53.5 deg

53.5 > 6.5 hence there would be no shadow .