Question

The length of the shadow of a pillar is `1/sqrt(3)` times the height of the pillar . find the angle of elevation of the sun .

Answer 1

Let AB be the pillar and BC be its shadow.

Let h be the height of the pillar . Then,

BC = `1/sqrt(3)`h

In ΔABC,

tanθ = `"AB"/"BC"`

⇒ `tanθ = h/(h/sqrt(3)) = sqrt(3)`

But , `tan60^circ = sqrt(3)`

∴ `θ = 60^circ`