Answer:
A = 33°
b = 41.6
c = 49.6
Step-by-step explanation:
✔️A = 180° - (90° + 57°) (sum of triangle)
A = 33°
✔️To find b and c, apply trigonometric functions.
Reference angle = 57°
Opposite = b
Hypotenuse = c
Adjacent = 27
To find b, apply TOA:
Tan 57 = Opp/Adj
Tan 57 = b/27
b = 27 × Tan 57
b = 41.5763539 ≈ 41.6 (nearest tenth)
To find x, apply CAH:
Cos 57 = Adj/Hyp
Cos 57 = 27/c
c × Cos 57 = 27
c = 27/Cos 57
c = 49.5741184 ≈ 49.6 (nearest tenth)
