The angle of elevation of the sun, if the length of the shadow of a tower

Question

The angle of elevation of the sun, if the length of the shadow of a tower is √3 times the height of the towre is

Options:

A . \(30^{0}\)

B . \(45^{0}\)

C . \(60^{0}\)

D . \(90^{0}\)

Answer: Option A

Let in right angle triangle ABC of angle C = θ

height AB = x and shadow BC = √3 x

tan θ = \(\frac{AB}{BC}=\frac{x}{\sqrt{3}x}=\frac{1}{\sqrt{3}}=30^{0}\)

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