Answer:
mBC ≈ 20.5
Step-by-step explanation:
Law of Sines: [tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]
Simply plug in it into the formula.
Step 1: Define variables
c = 16
C = 52°
A = 84°
BC = x
Step 2: Plug into formula
[tex]\frac{16}{sin51} =\frac{x}{sin84}[/tex]
Step 3: Solve
[tex]sin84(\frac{16}{sin51}) = x[/tex]
x = 20.4754
x ≈ 20.5
