Use the Law of Sines to solve for B and C.Round your answer to two decimal places.
A = 38°,a = 8,b = 5

A)B ≈ 29°,C ≈ 113°
B)B ≈ 22.63°,C ≈ 119.37°
C)B ≈ 103°,C ≈ 39°
D)B ≈ 113°,C ≈ 29°
E)B ≈ 119.37°,C ≈ 22.63°

Question

Use the Law of Sines to solve for B and C.Round your answer to two decimal places. ​
A = 38°,a = 8,b = 5
​
A)B ≈ 29°,C ≈ 113°
B)B ≈ 22.63°,C ≈ 119.37°
C)B ≈ 103°,C ≈ 39°
D)B ≈ 113°,C ≈ 29°
E)B ≈ 119.37°,C ≈ 22.63°

Quizplus · Accepted Answer

Using the Law of Sines, we have $\frac{a}{\sin A} = \frac{b}{\sin B}$. Plugging in the given values, $\frac{8}{\sin 38^\circ} = \frac{5}{\sin B}$. Solving for $B$, we find $B \approx 22.63^\circ$. Since the sum of angles in a triangle is $180^\circ$, $C = 180^\circ - A - B \approx 180^\circ - 38^\circ - 22.63^\circ = 119.37^\circ$.

Use the Law of Sines to Solve for B and C.Round