Answer:
A = 43°
b = 26.8
c = 36.7
Step-by-step explanation:
✔️Find A:
A + 90° + 47° = 180° (sum of triangle theorem)
A + 137° = 180°
Subtract 137° from each side
A = 180° - 137°
A = 43°
✔️Find b and c by applying trig functions:
Reference angle = 47°
Opposite = b
Hypotenuse = c
Adjacent = 25
To find b, apply TOA:
Tan 47° = Opp/Hyp
Tan 47 = b/25
25*Tan 47 = b
26.8092178 = b
b = 26.8 (nearest tenth)
To find c, apply CAH:
Cos 47° = Adj/Hyp
Cos 47° = 25/c
c*Cos 47° = 25
c = 25/Cos 47°
c = 36.6569796
c = 36.7 (nearest tenth)
