If the angle of elevation of the sun is 11º20’, how long is the shadow on the level ground of a man who is 5.5 ft tall?

Let x ft be the length of the shadow.

The man is vertical, while the shadow is horizontal.
Hence, a right-angled triangle is formed.
With respect to the angle 11°20', the man is the opposite side, while the shadow is the adjacent side.

tan11°20' = 5.5/x
x = 5.5/tan11°20'
x = 27.4

Length of the shadow = 27.4 ft

tan 11º 20` = 5.5 / x

x = 5.5 / tan 11² 20`

x = 27.5 ft------------length of shadow