Respuesta :

Answer:

[tex]b=6.8\ units[/tex]

Step-by-step explanation:

we know that

Applying the law of sines in the triangle ABC

[tex]\frac{AB}{sin(C)}=\frac{AC}{sin(B)}[/tex]

substitute the given values

[tex]\frac{15}{sin(140\°)}=\frac{b}{sin(17\°)}[/tex]

Solve for b

[tex]b=(sin(17\°))\frac{15}{sin(140\°)}[/tex]

[tex]b=6.8\ units[/tex]