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What is the length of side a? Round to the nearest tenth

What is the length of side a? Round to the nearest tenth-example-1
User Bezejmeny
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1 Answer

11 votes

Answer:


\displaystyle 12,9

Step-by-step Step-by-step explanation:

Use the Law of Sines to find the length of the second edge:

Solving for Angles


\displaystyle \frac{sin\angle{C}}{c} = \frac{sin\angle{B}}{b} = \frac{sin\angle{A}}{a}

Use
\displaystyle sin^(-1)towards the end or you will throw your result off!

Solving for Edges


\displaystyle \frac{c}{sin\angle{C}} = \frac{b}{sin\angle{B}} = \frac{a}{sin\angle{A}}

Let us get to wourk:


\displaystyle (a)/(sin\:40) = (10)/(sin\:30) \hookrightarrow (10sin\:40)/(sin\:30) = x; 12,855752194... \\ \\ \boxed{12,9 \approx x}

I am joyous to assist you at any time.

User SimonDos
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