Question

If c= 16, solve for b. (Timed!!!)

Answer 1

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