The ratio of the length of a rod and its shadow is 1/\sqrt3 . The angle of elevation of the sun is:

SSC CHSL 15 Nov 2015 Shift 1 Paper

Question : 143 of 199

Marks: +1, -0

The ratio of the length of a rod and its shadow is

1/√3

. The angle of elevation of the sun is:

Solution:

AB is the rod and BC is its shadow. It is given that

{AB}/{BC} =1/√3

Let angle of elevation of sun = ∠ACB = θ
In ∆ABC,
⇒

tan(θ) ={AB}/ {BC}

⇒

tan(θ) = 1/√3

⇒

tan(θ) = tan(30° )

⇒

θ = 30°

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