The Law of Sines: Mastery Test ? In triangle ABC, how long is side a if A = 24°, C = 55°, and c = 3? O 1.49 O 1.31 O 6.04 O 0.1
![The Law of Sines Mastery Test In triangle ABC how long is side a if A 24 C 55 and c 3 O 149 O 131 O 604 O 01 class=](https://us-static.z-dn.net/files/d11/41814e96891241529aed0164cc703b0a.jpg)
Answer:
Step-by-step explanation:
Using the Law of Sines, our proportion would be
[tex]\frac{sin24}{a}= \frac{sin55}{3}[/tex] and cross multiply to get
3sin24 = asin55 and solve for a:
[tex]a=\frac{3sin24}{sin55}[/tex] so
a = 1.49, the first choice.