Find the angle of elevation of the Sun, when the length of the shadow of a tree is $$ \frac{1}{\sqrt{3}} $$ times the height of the tree.

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Let the height of the tree be $$ h $$, and the length of its shadow be $$ \frac{h}{\sqrt{3}} $$.

From trigonometry,  
$$
	an 	heta = \frac{	ext{Height of the tree}}{	ext{Length of its shadow}}
$$  
Substituting the given values:  
$$
	an 	heta = \frac{h}{\frac{h}{\sqrt{3}}} = \sqrt{3}
$$

The angle $$ 	heta $$ for which $$ 	an 	heta = \sqrt{3} $$ is $$ 60^\circ $$.

Thus, the angle of elevation of the Sun is **$$ 60^\circ $$**.

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