Please help, I can't figure this out.

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°

Angle A: 51.34°

Angle B: 38.66°

c = 19.21 cm

Step-by-step explanation:

c² = 12² + 15²

c² = 369

c = 3sqrt(41)

c = 19.21 cm (nearest hundredths)

Angle A

tanA = opposite/adjacent

tanA = 15/12

A = 51.34019175

Angle B + Angle A + 90 = 180

Angle B + 51.34 + 90 = 180

Angle B = 38.66