If a 48 m tall building has a shadow of 48 \sqrt3 m., then the angle of elevation of the sun is

SSC CGL 30 Aug 2015 Paper

Question : 121 of 200

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If a 48 m tall building has a shadow of 48

√3

m., then the angle of elevation of the sun is

Solution:

AB = Building = 48 metre
BC = Shadow = 48 3 metre
∠ACB = θ = ?
∴ tan θ =

{AB}/{BC}

{48}/{48√3}

⇒ tan θ

1/√3

= tan 30°
⇒ θ = 30°

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