Answer:
a = 36√3
b = 36
Step-by-step explanation:
Reference angle = 30°
Opposite = b
Adjacent = a
Hypotenuse = 72
✔️To find a, apply CAH:
Cos 30° = Adj/Hyp
Cos 30° = a/72
a = Cos 30° × 72
a = √3/2 × 72 (cos 30° = √3/2)
a = √3 × 36
a = 36√3
✔️To find b, apply SOH:
Sin 30° = Opp/Hyp
Sin 30° = b/72
b = Sin 30° × 72
b = 1/2 × 72 (sin 30° = ½)
b = 36
