Question

Given: The

measure of angle B = 27 degrees, measure of angle C
= 82 degrees, and b = 12. Then a =to the
nearest tenth.

Answer 1

25

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

`(sin \: 27)/(12) = (sin71)/(a) \\ a = (12 * sin71)/(sin27) \\ a \: = (11.346)/(0.454) \\ a = 25`