Answer:
[tex]a\text{ = 5.936}[/tex]
Explanation:
Here, we want to sketch the triangle
We start by having a diagram as shown below:
From here, we want to use the law of sines to get the value of a
a is the side that faces the angle A
According to the law of sines, the ratio of the measure of a side and the sine of the angle that faces the side is the same for all the sides of the triangle
Mathematically:
[tex]\begin{gathered} \frac{a}{Sin\text{ 36}}\text{ = }\frac{10}{Sin\text{ 82}} \\ \\ a\text{ = }\frac{10\text{ sin 36}}{sin\text{ 82}} \\ \\ a\text{ = 5.936} \end{gathered}[/tex]
