217,422 views
38 votes
38 votes
Can someone help me

Can someone help me-example-1
User Oliver G
by
2.8k points

1 Answer

15 votes
15 votes

Answer: Around 38.2°

Explanation:

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

Substitute them into the formula for the law of sines:


(sinA)/(a) =(sinB)/(b) \\\\(sinx)/(15)=(sin27)/(11) \\

Cross-multiply:


11sinx=15sin27

Solve for x:


sinx=(15sin27)/(11) \\\\x=sin^(-1) ((15sin27)/(11))\\\\=38.2488

User Follmer
by
2.5k points