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Answer:
[tex]\huge\boxed{\sf AB = 8.86 \ cm}[/tex]
Step-by-step explanation:
θ = 41°
Hypotenuse = BC = 13.5 cm
opposite = AB = ?
We will use the trigonometric ratio of sin.
[tex]\displaystyle sin \ \theta = \frac{opposite }{hypotenuse} \\\\sin \ 41=\frac{AB}{13.5} \\\\0.656 = \frac{AB}{13.5} \\\\0.656 \times 13.5 = AB\\\\8.86 \ cm = AB\\\\\boxed{ AB = 8.86 \ cm}\\\\\rule[225]{225}{2}[/tex]