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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 .
Solution
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`
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