We can graph the situation as follows:
Since the shadow must have the same angle, we can use the tangent of this angle to find the height of the tower.
Then, we have that:
[tex]\tan (\alpha)=\frac{1.6}{0.5}\Rightarrow\tan (\alpha)=3.2\Rightarrow arctan(\tan (\alpha))=\arctan (3.2)[/tex]
Then
[tex]\alpha=\arctan (3.2)\Rightarrow\alpha=72.64[/tex]
Thus, we can use this angle to find the height of the Eiffel Tower:
[tex]\tan (72.64)=\frac{h}{93.75}\Rightarrow h=93.75\cdot3.2\Rightarrow h=300[/tex]
Then, the height of the Eiffel Tower, according to this, is 300 m.
