If the length of the shadow of a vertical pole be \sqrt3 times the height of the pole, the angle of elevation of the sun is :

SSC CGL 2 Sep 2016 Shif 2 Paper

Question : 69 of 100

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If the length of the shadow of a vertical pole be

√3

times the height of the pole, the angle of elevation of the sun is :

Solution:

AB = Height of pole = x units
BC = Length of shadow
=

√3

x units
∠ACB = θ
∴ tan θ =

{AB}/{BC}

⇒ tan θ =

x/{√3x}

1/√3

= tan 30°
⇒ θ = 30°

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