meredith48034
meredith48034 meredith48034
  • 26-05-2020
  • Mathematics
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laws of Sines with find the angle find each measurement indicated. Round your answer to the nearest tenth.​

laws of Sines with find the angle find each measurement indicated Round your answer to the nearest tenth class=

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PunIntended
PunIntended PunIntended
  • 27-05-2020

Answer:

B ≈ 34.0°

Step-by-step explanation:

We want to use the Law of Sines, which states that for a triangle with side lengths a, b, and c and angles A, B, and C:

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

Here, b = 14, c = 25, and C = 93, so plug these in:

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

[tex]\frac{14}{sinB} =\frac{25}{sin(93)}[/tex]

Solve for B:

B ≈ 34.0°

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