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Answer:
Θ ≈ 67.38°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cosΘ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{5}{13}[/tex] , then
Θ = [tex]cos^{-1}[/tex] ([tex]\frac{5}{13}[/tex] ) ≈ 67.38° ( to 2 dec. places )