Answer:
21.8°
Step-by-step explanation:
The two sides of the rectangle, 4 inches and 10 inches, make the legs of a right triangle that includes angle A.
The 4 inch side is opposite angle A and the 10 inch side is adjacent to angle A; this gives us the ratio for tangent:
[tex]\tan{A}=\frac{4}{10}[/tex]
To find the value of angle A, take the inverse tangent of each side:
[tex]\tan^{-1}{(\tan{A})}=\tan^{-1}{(\frac{4}{10})}\\\\A=21.8[/tex]