Respuesta :

HomertheGenius
∠B + ∠B` = 180°
The Sine Law:
10 / sin B` = 9.2 / sin 60°
10 / sin B` = 9.2 / √3/2
sin B` = 0.94133
B` = sin^(-1) 0.94133
Answer:
C ) ∠B` = 109.73°, ∠B = 70.27°
Lanuel

By apply the law of sine, the magnitude of both angles B and B', which solve this ambiguous case are 64.13° and 115.87° respectively.

How to determine angles B and B'?

In order to determine the magnitude of both angles B and B', we would apply the law of sine:

[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]

Substituting the parameters into the formula above, we have;

sinB'/16 = sin60/15.4

sinB'/16 = 0.8660/15.4

sinB'/16 = 0.0562

sinB' = 0.0562 × 16

B' = sin⁻¹(0.8992)

B' = 115.87°.

Now, we can determine the magnitude of angle B by using the formula for supplementary angles:

B + B' = 180

B + 115.87 = 180

B = 180 - 115.87

B = 64.13°.

Read more on law of sine here: https://brainly.com/question/7922954

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