If a pole 6 m high casts a shadow 2 m long on the ground then the sun’s elevation is
Lets assume AB = 2√3 m, i.e. length of shadow on the ground from the pole
and BC = 6 m, i.e. height of the pole as mentioned in the diagram.
Let sun make an angle of θ on the ground, such that ∠CAB=θ
So in ∆ABC, tan θ = BC/AB
(∵ tan θ = perpendicular/base)
⇒ tan θ = tan 60° (∵ tan 60° = √3)
By comparing, we get
θ = 60°
∴, the sun’s elevation is 60°