Answer:
The answer to your question is A = 51.37 B = 38.7° c = 19.2 cm
Step-by-step explanation:
Data
Right triangle
C = 90°
A = ?
B = ?
a = 15 cm
b = 12 cm
c = ?
Process
1.- Calculate the length of c.
c² = a² + b²
-Substitution
c² = 15² + 12²
-Simplification
c² = 225 + 144
c² = 369
c = 19.2 cm
2.- Calculate the angles
∠A
sin A = Opposite side / hypotenuse
Opposite side = 15 hypotenuse = 19.2
sinA = 15/19.2
sinA = 0.781
sin⁻¹A = A = 51.37
3.- Calculate B
sin B = 12 / 19.2
sin B = 0.625
sin⁻¹B = B = 38.7°
