Question

the ratio of the length of a tree and its shadow is 1:1/root 3. find the angle of a sun's elevation?

Answer 1

Let x be the common multiple;
i.e,   x : x/√3,
we know that, tanθ = opp/ adj
                               = x / x/√3
on cancellation,
                       tanθ =√3     
∵tan 60° = √3
θ = 60°