Question

Please help me with number 3

Thanks

Answer 1

x = 2.8

y = 2

Explanation:

Reference angle = 45°

Opposite = 2

Hypotenuse = x

Adjacent = y

✔️To find x, apply the trigonometric function SOH:

Sin 45 = Opp/Hyp

Sin 45 = 2/x

x*Sin 45 = 2

x = 2/Sin 45

x = 2.82842712 ≈ 2.8 (nearest tenth)

✔️To find y, apply the trigonometric function TOA:

Tan 45 = Opp/Adj

Tan 45 = 2/y

y*Tan 45 = 2

y = 2/Tan 45

y = 2