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 `45^0` (b) `30^0` (c) `60^0` (d) `90^0`

Explanation

Assume the height of the tower be `h` meter.


Then the length of the tower be `sqrt 3 h meter`


In` triangle ABC`


`Rightarrow tan theta=frac{AB}{BC}`


`Rightarrow tan theta=frac{h}{sqrt3 h} `


`Rightarrow tan theta=frac{1}{sqrt3}`


`Rightarrow tan theta=tan 30^{circ}` ` [tan 30^{circ}=frac{1}{sqrt3}] `


`Rightarrow theta=30^{circ}` .