Question

if the ratio between the length of the shadow of the tower and its height root3:1then what is the angle of the elevation with the sun

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Answer 1

See attachment, here AB is the height of tower and BC is the length of Shadow .
θ is the elevation angle of sun .
According to question ,
length of Shadow : height of tower = √3 : 1
⇒BC : AB = √3 : 1
⇒ BC/AB = √3/1
⇒ AB/BC = 1/√3

But AB/BC = tanθ [∵ tanФ = perpendicular/base ]
now, tanθ = 1/√3 = tan30°
∴ θ = 30° , hence elevation angle of sun is 30°

HOPE IT HELPS!