When the length of the shadow of a pole is equal to a height of the pole, then &

Question

When the length of the shadow of a pole is equal to a height of the pole, then the elevation of source of light is

Options:

A . \(30^{0}\)

B . \(45^{0}\)

C . \(60^{0}\)

D . \(90^{0}\)

Answer: Option B

Let angle of elevation of right angle triangle ABC of angle C = θ

and height AB = shadow BC = x

tan θ = \(\frac{AB}{BC}=\frac{x}{x}=1=45^{0}\)

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