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Answer:
9.4 units
Step-by-step
By sine rule:
[tex]\frac{AC}{\sin B} = \frac{AB}{\sin C} [/tex]
[tex]\frac{AC}{\sin 36\degree} = \frac{AB}{\sin 90\degree} \\ \\ \frac{AC}{\sin 36\degree} = \frac{16}{1} \\( \because \: \sin 90\degree = 1) \\ \\ AC = 16 \: \sin 36\degree \\ \\ AC = 16 \times 0.5877852523 \\ \\ AC = 9.40456404 \\ \\ AC \approx \: 9.4 \: [/tex]