Respuesta :

Answer:

[tex]29.98\°[/tex]

Step-by-step explanation:

Let

x-----> the angle between the longest side and the diagonal

we know that

The tangent of angle x is equal to the ratio of smaller side to the longer side of rectangle

[tex]tan(x)=\frac{577}{1,000}[/tex]

[tex]x=arctan(\frac{577}{1,000})=29.98\°[/tex]