Answer:
AC = [tex]\frac{10}{sin62}[/tex]
Step-by-step explanation:
Using the sine ratio in the right triangle to find AC
sin62° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{10}{AC}[/tex] ( multiply both sides by AC )
AC × sin62° = 10 ( divide both sides by sin62° )
AC = [tex]\frac{10}{sin62}[/tex] ≈ 11.3 ft ( to the nearest tenth )