Answer:
The answer to your question is the letter D.
Step-by-step explanation:
Data
∠A = 30°
∠C = 90°
BC = 12 ft
Process
1.- Calculate ∠B using the fact that the sum of the internal angles in a triangle equals 180°
∠A + ∠B + ∠C = 180°
-Substitution
30 + ∠B + 90 = 180
-Solve for ∠B
∠B = 180 - 90 - 30
-Result
∠B = 60°
2.- Calculate the length of AC using the trigonometric function tan.
tan A = BC / AC
-Solve for AC
AC = BC / tan A
-Substitution
AC = 12 / tan 30
-Result
AC = 20.784 ft
3.- Calculate AB using the trigonometric function sin.
sin 30 = BC / AB
-Solve for AB
AB = BC / sin 30
-Substitution
AB = 12 / sin 30
-Result
AB = 24 ft
