Question

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

Answer 1

Answer:

○ $\displaystyle 12,9$

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:

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

I am joyous to assist you at any time.