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2 years ago

Can someone help me

Mathematics

1 answer:

sertanlavr [38]2 years ago

3 0

Answer: Around 38.2°

Step-by-step explanation:

Set ∠A = x & a = 15
Set ∠B = 27° & b = 11

Substitute them into the formula for the law of sines:

$\frac{sinA}{a} =\frac{sinB}{b} \\\\\frac{sinx}{15}=\frac{sin27}{11} \\$

Cross-multiply:

$11sinx=15sin27$

Solve for x:

$sinx=\frac{15sin27}{11} \\\\x=sin^{-1} (\frac{15sin27}{11})\\\\=38.2488$

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