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Answer: 48.89
Step-by-step explanation:
The proportion for tangent is the opposite side over the adjacent side.
[tex]\displaystyle \frac{\text{opposite \;side}}{\text{adjacent \;side}} =\frac{55}{48}[/tex]
Given:
tan(E) = [tex]\frac{55}{48}[/tex]
Inverse:
[tex]\displaystyle tan^{-1} (tan(E)) = (\frac{55}{48} ) tan^{-1}[/tex]
Simplify:
≈ 48.8879
Round:
≈ 48.89