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Mosegui · Answer 1 · 2022-11-19T20:33:46+0000

Answer:

7.4 in

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° =
(adjacent)/(hypotenuse) =
(l)/(8) ( multiply both sides by 8 )

8 × cos22° = l , then l ≈ 7.4 in ( to the nearest tenth )