Question

Please put it in simplest radical form and rationalize the denominators
B=
A=

Answer 1

a = 36√3

b = 36

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