Question

1) Find the missing side. Give your
answer in simplest radical form.

Answer 1

x = 4

y = 4√3

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