Answer:
x = 36√2
Step-by-step 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
