Answer:
7.4 in
Step-by-step explanation:
The diagonal divides the rectangle into 2 right triangles.
The diagonal is the hypotenuse and the length l is a leg ( adjacent) to angle
Using the cosine ratio in the right triangle
cos22° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{l}{8}[/tex] ( multiply both sides by 8 )
8 × cos22° = l , then l ≈ 7.4 in ( to the nearest tenth )
