Use the Law of Sines to find the missing side of the triangle.
Find the measure of b, given m∠A = 38°, m∠B = 74°, and a = 31.
(1 point)
Responses
19.9
19.9
18.3
18.3
37.8
37.8
48.4
To find side b using the Law of Sines, you can set up the equation:
sin(A)/a = sin(B)/b
Substitute the given values:
sin(38°)/31 = sin(74°)/b
Solve for b:
b = (31 * sin(74°)) / sin(38°)
b = (31 * 0.9613) / 0.6209
b = 29.8
Therefore, the missing side b is approximately 29.8. None of the provided options are correct.