The triangle C can be solved using the law of sines.
What is the law of sines?
'The law of sine or the sine law states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.'
According to the given problem,
We know,
Law of sines = [tex]\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}[/tex]
In triangle C,
Third angle = 180 - ( 70 + 30 )
= 180 - 100
= 80°
⇒ [tex]\frac{10}{sin30 }= \frac{b}{sin70} =\frac{c}{sin80}[/tex]
⇒ [tex]\frac{10}{sin30}= \frac{b}{sin70}[/tex]
⇒ 20 × 0.9396 = b
⇒ b = 18.8 m
⇒ [tex]\frac{10}{sin30}=\frac{c}{sin80}[/tex]
⇒ 20 × 0.9848 = c
⇒ c = 19.7 m
Hence, we can conclude that tringle C can be solved using the law of sines.
Learn more about the law of sines here: https://brainly.com/question/17289163
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