What is the length of the shadow of the tower when the angle of elevation of the Sun is 30 degree?

Let AB be the tower and BC be the length of the shadow of the tower.

Here, θ is the angle of elevation of the sun.

Given, length of shadow of tower = `sqrt3` × Height of the tower

BC = `sqrt3` AB ... (1)

In right ΔABC

`tanO/=(AB)/(BC)`              `(tanO/=(\text{opposite side})/\text{opposite side})`

`thereforetanO/=(AB)/sqrt(AB)`                    `\text{Using} (1)`

`rArrtanO/=1/sqrt3`

`rArrtan=tan 30^@`                       `(thereforetan30^@=1/sqrt3)`

`rArrO/=30^@`

Thus, the angle of elevation of the sun is 30°.

Hence, the correct answer is B.