What is the angle of elevation of the sun when the length of the shadow of a tower is root 3 times the height of the tower?

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

What is the angle of elevation of the sun when the length of the shadow of a tower is root 3 times the height 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.