Respuesta :

Answer:

b ≈ 13.80 in

Step-by-step explanation:

Since the triangle is right use the tangent ratio to solve for b

tan17.71° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{AC}{43.21}[/tex]

Multiply both sides by 43.21

43.21 × tan17.71° = AC, hence

AC = b ≈ 13.80 ( to 2 dec. places )