Respuesta :

Find a using the theorem of sinus:

[tex]\sin(57°)=\frac{a}{29}[/tex][tex]a=\sin(57)*29=24.32[/tex]

Now with the Pythagoras theorem find b:

[tex]a^2+b^2=29^2[/tex][tex]24.32^2+b^2=29^2[/tex][tex]b^2=29^2-24.32^2[/tex][tex]b^2=841-591.46[/tex][tex]b=\sqrt{841-591.46}=\sqrt{249.53}[/tex][tex]b=15.79[/tex]

Finally, find B knowing that the sum of all internal angles of a triangle is equal to 180°:

[tex]B=180-57-90=33°[/tex]