Respuesta :

Answer:

AC is 6.5 cm

Step-by-step explanation:

From trigonometric ratios:

[tex] \sin( \theta) = \frac{opposite}{hypotenuse} \\ [/tex]

opposite » 3 cm

hypotenuse » AC

angle » 28°

[tex] \sin(28 \degree) = \frac{3}{AC} \\ \\ AC = \frac{3}{ \sin(28 \degree) } \\ \\ AC = \frac{3}{0.46} \\ \\ AC = 6.5 \: cm[/tex]

Answer:

Here sin28 = perpendicular/hypotenuse

AC = sin28 * 3

AC = 0.46*3

AC = 1.38