neexx
neexx neexx
  • 18-06-2021
  • Mathematics
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Which proportion could be used to find the length of side b?

Which proportion could be used to find the length of side b class=

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Corsaquix
Corsaquix Corsaquix
  • 18-06-2021

Answer:

[tex]\text{B. }\frac{\sin 31^{\circ}}{9.3}=\frac{\sin 85^{\circ}}{b}[/tex]

Step-by-step explanation:

In any triangle, the Law of Sines states that the proportion of the sine of each angle and its opposite side is maintained throughout all 3 angles and their corresponding sides of a triangle:

[tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex]

Thus, we have [tex]\implies \boxed{\text{B. }\frac{\sin 31^{\circ}}{9.3}=\frac{\sin 85^{\circ}}{b}}[/tex]

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