Respuesta :

Answer:

Side Length AB = 22

Side Length CB = 35.21

Side Length = 41.52

Angle A = 58°

Angle B = 90°

Angle C = 32°

Step-by-step explanation:

  • Side Length CB;

Tan(32) = 22 / CB

Tan(32) * CB = 22

CB = 22 / Tan(32)

CB = 35.21

  • Side Length AC; (Now that we know the Length of AB and BC)

22² + 35.21² = AC²

484 + 1239.74 = AC²

1723.74 = AC²

[tex]\sqrt{1723.74}[/tex] = AC

41.52 = AC

  • Angle A (Since we know Angle B and Angle C)

Angle A + Angle B + Angle C = 180°

Angle A + 32° + 90° = 180

Angle A + 122 = 180

Angle A = 180 - 122

Angle A = 58°

Hope this helps!

Answer:

Sine Rule will apply here too

22/Sin32° = AC/sin90

AC = 22sin90/sin32

AC=41.52(To the nearest 100th)

Angles in a triangle =180

Angle A = 180 - 90 - 32

Angel A = 58°

BC/Sin58 = 22/sin32

BC = 22sin58/sin32

BC=35.21 (Nearest 100th).

Have a great day!