800PY
Answered

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Sagot :

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 )

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