Answer:
B = 40°
a = 23.0
b = 19.3
Step-by-step explanation:
✔️B = 180° - (90° + 50°) => sum of triangle
B = 40°
✔️Reference angle = 50°
Opp = a
Hypotenuse = 30
Adjacent = b
Find a by applying the trigonometric function, SOH:
Sin 50 = Opp/Hyp
Sin 50 = a/30
30 × Sin 50 = a
23.0 = a
a = 23.0 (nearest tenth)
To find b, apply CAH:
Cos 50 = Adj/Hyp
Cos 50 = b/30
30 × Cos 50 = b
b = 19.3 (nearest tenth)
