Answer:
AB ≈ 7.83
Step-by-step explanation:
Using the sine ratio in the right triangle
sin50° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB }[/tex] = [tex]\frac{6}{AB}[/tex]
Multiply both sides by AB
AB × sin50° = 6 ( divide both sides by sin50° )
AB = [tex]\frac{6}{sin50}[/tex] ≈ 7.83 ( to the nearest hundredth )
