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

43.82 units.

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))}`

`(b)/(0.743144825477)=(50)/(0.848048096156)`

`(b)/(0.743144825477)*0.743144825477=(50)/(0.848048096156)*0.743144825477`

`b=43.81501643866`

`b\approx 43.82`

Therefore, the value of b is approximately 43.82 units.