Answer:
AB ≈ 8.77
Step-by-step explanation:
Using the sine ratio in the right triangle
sin20° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{3}{AB}[/tex] ( multiply both sides by AB
AB × sin20° = 3 ( divide both sides by sin20° )
AB = [tex]\frac{3}{sin20}[/tex] ≈ 8.77 ( to the nearest hundredth )
