Define variables

Let the shadow length be $x$ and the height of the tower be $h$. Given $h = x\sqrt{3}$.

$h = x\sqrt{3}$

Apply trigonometric ratio

In the right-angled triangle formed by the tower and its shadow, the angle of elevation $\theta$ satisfies the tangent ratio.

$\tan(\theta) = \frac{h}{x}$

Substitute and solve

Substituting $h = x\sqrt{3}$ into the equation, we get $\tan(\theta) = \frac{x\sqrt{3}}{x} = \sqrt{3}$.

$\tan(\theta) = \sqrt{3}$

Find the angle

Since $\tan(60°) = \sqrt{3}$, the value of $\theta$ is $60°$.

$\theta = 60°$