The length of shadow of a tower on the plane ground is `sqrt(3)` times the height of the tower. The angle of elevation of sun is

Explanation

Assume the height of the tower be `h` meter


the base of the tower be `sqrt 3h` meter


`Rightarrow tan theta=frac{height}{Base} `


`Rightarrow tan theta=frac{h}{sqrt{3} h} `


`Rightarrow tan theta=frac{1}{sqrt{3}} `


`Rightarrow tan theta=tan 30^circ` `[As tan 30^{circ}=frac{1}{sqrt{3}}]`


`Rightarrow theta=30^circ` .