Respuesta :

Answer:

[tex]64.98\°[/tex]

Step-by-step explanation:

we know that

In the right triangle of the figure

[tex]tan(A)=\frac{BC}{AB}[/tex] ---> opposite side to angle A divided by the adjacent side to angle A

substitute the values

[tex]tan(A)=\frac{15}{7}[/tex]

[tex]A=arctan(\frac{15}{7})=64.98\°[/tex]