Answer:
BC = 5 cm (nearest whole number)
Step-by-step explanation:
Use the sine trig ratio:
[tex]\mathsf{\sin \theta=\dfrac{opposite\ side}{hypotenuse}}[/tex]
Given:
- [tex]\theta[/tex] = 22.6°
- side opposite the angle = a
- hypotenuse = 13
Substituting these values into the sine ratio formula:
[tex]\implies \mathsf{\sin (22.6)=\dfrac{a}{13}}[/tex]
[tex]\implies \mathsf{a=13\sin (22.6)}[/tex]
[tex]\implies \mathsf{a=4.995839195...}[/tex]
Therefore, BC = 5 cm (nearest whole number)
