Question

URGENT!

Find the measure of angle C, to the nearest tenth of a degree, for a triangle ABC, where c=14cm, b=6cm, and m∠B = 25° Choose all correct answers.

A. 55.4°
B. 74.6°
C. 80.4°
D. 99.6°

Answer 1

Option C. will be the answer.

Explanation:

In the attached figure,

c = AB = 14 cm

b = AC = 6 cm

and m∠B = 25°

By applying Sine rule in the given triangle,

`(SinB)/(AC)=(SinC)/(AB)`

`(Sin25)/(6)=(SinC)/(14)`

SinC =
`(14(Sin25))/(6)`

= 0.98611

C =
`\text{Sin}^(-1)(0.98611)`

= 80.44°

≈ 80.4°

Therefore, measure of angle C = 80.4°

Option C. will be the answer.