Answer:
x = 4
y = 4√3
Step-by-step explanation:
Reference angle = 30°
Hypotenuse = 8
Adjacent = y
Opposite = x
Recall: SOHCAHTOA
✔️To find x, apply SOH:
Sin 30 = Opp/Hyp
Sin 30 = x/8
x = 8 × sin 30
x = 8 × ½ (sin 30 = ½)
x = 4
✔️To find y, apply CAH:
cos 30 = Adj/Hyp
Cos 30 = y/8
y = 8 × Cos 30
y = 8 × √3/2 (cos 30 = √3/2)
y = 4 × √3
y = 4√3
