Answer:
AC ≈ 10.1 m
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos20° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{9.5}{AC}[/tex] ( multiply both sides by 9.5 )
AC × cos20° = 9.5 ( divide both sides by cos20° )
AC = [tex]\frac{9.5}{cos20}[/tex] ≈ 10.1 m ( to 3 sf )