Answer:
x = 73.3
y = 46.2
Step-by-step explanation:
Reference angle (θ) = 39°
Adjacent = 57
Hypotenuse = x
Opposite = y
Recall: SOHCAHTOA
✔️To find x, apply CAH:
Cos θ = Adjacent/Hypotenuse
Plug in the values
Cos 39° = 57/x
x × Cos 39° = 57
x = 57/Cos 39°
x = 73.3 (nearest tenth)
✔️To find x, apply TOA:
Tan θ = Opposite/Adjacent
Plug in the values
Tan 39° = y/57
57 × Tan 39° = y
y = 46.2 (nearest tenth)
