Respuesta :

Answer:

  • 33.55°

Step-by-step explanation:

Find the length of BD:

  • [tex]BD=\sqrt{12^2+5^2}=\sqrt{169} =13\quad cm[/tex]

Use the ΔBCD and the law of sines to find the angle x:

  • [tex]BD/sin(25)=CD/sin(x)[/tex]
  • [tex]sin(x)=17*sin(25)/13 = 0.5526[/tex]
  • [tex]x=arcsin(0.5526)=33.55[/tex]