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°

Respuesta :

Answer:

Option C. will be the answer.

Step-by-step 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,

[tex]\frac{SinB}{AC}=\frac{SinC}{AB}[/tex]

[tex]\frac{Sin25}{6}=\frac{SinC}{14}[/tex]

SinC = [tex]\frac{14(Sin25)}{6}[/tex]

        = 0.98611

C = [tex]\text{Sin}^{-1}(0.98611)[/tex]

   = 80.44°

   ≈ 80.4°

Therefore, measure of angle C = 80.4°

Option C. will be the answer.

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