Answer:
The answer to your question is the letter A. AB = 6√3, sin 30 = √3/2
Step-by-step explanation:
Data
∠C = 60°
hypotenuse = AC = 12
Process
Calculate the length of the sides AB and BC. The calculate these lengths, use trigonometric functions.
a) To calculate AB use sine
sin Ф = AB / AC
-Solve for AB
AB = AC sinФ
-Substitution
AB = 12 sin 60
- Result
AB = 12√3 / 2
AB = 6√3
b) To calculate BC use cosine
cos Ф = BC / AC
-Solve for BC
BC = AC cosФ
-Substitution
BC = 12 (1/2)
-Result
BC = 6
c) Calculate sin 30 and sin 60
sin 30 = √3/2
sin 60 = 1/2
