Answer:
[tex]\huge\boxed{\sf AB = 8.86 \ cm}[/tex]
Step-by-step explanation:
Given:
θ = 41°
Hypotenuse = BC = 13.5 cm
Required:
opposite = AB = ?
We will use the trigonometric ratio of sin.
Solution:
[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]
