Use the Law of Sines to solve for B and C.Round your answer to two decimal places.
A = 145°, a = 28, b = 8

A)B $\approx$ 0.18°, C $\approx$ 32.89°
B)B $\approx$ 0.18°, C $\approx$ 39.82°
C)B $\approx$ 9.43°, C $\approx$ 25.57°
D)B $\approx$ 25.57°, C $\approx$ 9.43°
E)B $\approx$ 39.82°, C $\approx$ 0.18°

Question

Use the Law of Sines to solve for B and C.Round your answer to two decimal places.  
A = 145°, a = 28, b = 8
 
A)B $\approx$ 0.18°, C $\approx$ 32.89°
B)B $\approx$ 0.18°, C $\approx$ 39.82°
C)B $\approx$  9.43°, C $\approx$ 25.57°
D)B $\approx$  25.57°, C $\approx$  9.43°
E)B $\approx$  39.82°, C $\approx$  0.18°

Quizplus · Accepted Answer

Using the Law of Sines: $\frac{a}{\sin A} = \frac{b}{\sin B}$, we can solve for B. Given A = 145°, a = 28, and b = 8, we find B $\approx$ 9.43°. Knowing A and B, we can find C since the sum of angles in a triangle is 180°, thus C = 180° - A - B $\approx$ 25.57°.

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