Question

Solve for x using the special right triangle

Answer 1

x = 36√2

Explanation:

Reference angle = 30°

Side length opposite to 30° = 12√6

Adjacent length = x

Apply TO A to find x.

Tan 30° = Opp/Adj

Tan 30° = 12√6/x

multiply both sides by x

x*Tan 30° = 12√6

Divide both sides by Tan 30°

x = (12√6)/Tan 30°

x = (12√6)/(1/√3) (tan 30° = 1/√3)

x = (12√6) × (√3/1)

x = 12√18

x = 12√(9*2)

x = 12*3√2

x = 36√2