Question

Use the Law of Sines to find the missing side of the triangle. Find b.

Answer 1

43.8 is the correct answer

Answer 2

Answer:

43.82 units.

Step-by-step explanation:

We have been given a triangle. We are asked to find the value of b using Law of Sines.

$\frac{a}{\text{sin}(A)}=\frac{b}{\text{sin}(B)}=\frac{c}{\text{sin}(C)}$, where, a, b and c are opposite sides of angles A, B and C respectively.

Upon substituting our given values in above formula, we will get:

$\frac{50}{\text{sin}(58^{\circ})}=\frac{b}{\text{sin}(48^{\circ})}$

Switch sides:

$\frac{b}{\text{sin}(48^{\circ})}=\frac{50}{\text{sin}(58^{\circ})}$

$\frac{b}{0.743144825477}=\frac{50}{0.848048096156}$

$\frac{b}{0.743144825477}*0.743144825477=\frac{50}{0.848048096156}*0.743144825477$

$b=43.81501643866$

$b\approx 43.82$

Therefore, the value of b is approximately 43.82 units.