Answer:
AC ≈ 16.8 cm ( to 1 dec. place )
Step-by-step explanation:
Using the sine ratio in the right triangle
sin71° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{15.9}{AC}[/tex]
Multiply both sides by AC
AC × sin71° = 15.9 ( divide both sides by sin71° )
AC = [tex]\frac{15.9}{sin71}[/tex] ≈ 16.8 cm
