Respuesta :

Step-by-step explanation:

Given

Two similar triangles i.e. [tex]\trianle ABC \ \text{and}\ \triangle A'B'C'[/tex]

from the figure, In [tex]\triangle ABC[/tex]

[tex]\Rightarrow \cos \alpha=\dfrac{AC}{AB}=\dfrac{3}{5}[/tex]

Also, In [tex]\triangle A'B'C'[/tex]

[tex]\Rightarrow \cos \alpha =\dfrac{A'C'}{A'B'}=\dfrac{6}{10}=\dfrac{3}{5}[/tex]