The ratio of the length of a rod and its shadow is 1 : √3. The angle of elevation of the sum is

The ratio of the length of rod and its shadow = 1: √3

Let the angle of elevation of sun be θ

tan θ = P / B (P = perpendicular, B = base)

Here tan θ = 1: √3 =

tan θ = (by rationalizing the denominator)

θ = 30° (∵ tan 30° = )