First of all, we can find the angle B by using the fact that the interior angles of a triangle sum up to 180:
[tex]32.5+26.8+B=180 \iff B = 180-32.5-26.8=120.7
[/tex]
Now use the law of sines, which states that the ratio between a side and the sine of its opposite angle is constant. In particular, we have
[tex]\dfrac{\overwrite{BC}}{\sin(A)}=\dfrac{b}{\sin(B)}[/tex]
Plug in the known values and solve for b:
[tex]\dfrac{25}{\sin(32.5)}=\dfrac{b}{\sin(120.7)}\iff b=\dfrac{25\sin(120.7)}{\sin(32.5)}=40.01[/tex]
Answer:
40.01
Step-by-step explanation:
Apex told me the answer after i got it wrong
