Question

Given: The

Answer 1

Answer:

25

Step-by-step explanation:

We can calculate for a using sine rule.

For angle A,

A + 27° + 82° = 180 ( sum of angles in a triangle).

A + 109 = 180

A = 180 - 109 = 71°

Therefore,

A = 71°

calculating for side a

$\frac{sin \: 27}{12} = \frac{sin71}{a} \\ a = \frac{12 \times sin71}{sin27} \\ a \: = \frac{11.346}{0.454} \\ a = 25$