Question

Find all the missing elements: B 14 15 70° A b с

Answer 1

Answer:

$B=48.7$

$c=61.3$

$b=12$

Step-by-step explanation:

Using sines law for triangles,

$\frac{15}{sinA} =\frac{14}{sinc} =\frac{b}{sinB} \\\\A= 70$

⇒ $\frac{15}{sin70} =\frac{14}{sinC} =\frac{b}{sinB}$

⇒ $\frac{15}{0.9397} =\frac{14}{sinC}=\frac{b}{sinB}$

⇒ $15.9625=\frac{14}{sinC}$

⇒ $SinC=\frac{14}{15.9625}=0.8771$

⇒ $C=Sin^{-1}(0.8771)=61.29$

⇒ $C=61 ~ or ~ 61.30$

$\frac{b}{Sin B}=15.9625$

Now sum of angles a Δ is 180°

A+B+C=180°

$70+B+61=180$

$B=180-131=49~ or ~ 48.7$

$b=sin(48.70)(15.9625)=(0.7547)*(15.9625)= 12.0$

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       hope it helps..

      have a great day!!

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