Question

Can someone help me

Answer 1

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:

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