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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