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VARVARA [1.3K]
3 years ago
9

Find the value of x by using law of sines.

Mathematics
1 answer:
Pavel [41]3 years ago
3 0

Answer:

x = 7.7

Option B

Step-by-step explanation:

\frac{a}{Sin~A} &=& \frac{b}{Sin~b} \\ \frac{8}{Sin~73^\circ} &=& \frac{x}{Sin~67^\circ} \\ \frac{8}{0.96} &=& \frac{x}{0.92} \\ 0.96x &=& 8 \times 0.92 \\ 96x &=& 8 \times 92 \\ 96x &=& 736 \\ x &=& \frac{736}{96} \\ x&=& \frac{23}{3} \\ &\boxed{x=7.7}&

∴ value of x is 7.7

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