Answer:
b is 8√3 ⇒ A
Step-by-step explanation:
In the given triangle
∵ The Δ is the special right triangle 30°: 60°: 90°
∴ There is a ratio between its sides
∵ a is opposite to the angle of measure 30°
∵ b is opposite to the angle of measure 60°
∵ c is opposite the angle of measure 90°
∴ a: b: c = 1: √3: 2
∵ c = 16
→ By using the ratio between its sides
→ 30°: 60°: 90°
→ 1 : √3: 2
→ a : b : 16
→ By using cross multiplication
∵ b × 2 = √3 × 16
∴ 2b = 16√3
→ Divide both sides by 2
∴ b = 8√3
