Answer:
The value of BC is 14.5 cm .
Step-by-step explanation:
Now by using the trignometric identity .
[tex]sin\theta = \frac{Perpendicular}{Hypotenuse}[/tex]
As given
[tex]\theta = 65^{\circ}[/tex]
Perpendicular = BC = x
Hypotenuse = AB = 16 cm
[tex]sin\theta = \frac{Perpendicular}{Hypotenuse}[/tex]
[tex]sin\ 65^{\circ} = \frac{x}{AB}[/tex]
[tex]0.9063\ (Approx) = \frac{x}{16}[/tex]
x = 0.9063 × 16
x = 14.5 cm (Approx)
x = BC = 14.5 cm
Therefore the value of BC is 14.5 cm .
