417,419 views
28 votes
28 votes
Find all the missing elements:

B
40°
a
120°
A
8
С
C = [?]° a = [ ] C = [ ]
Enter

Find all the missing elements: B 40° a 120° A 8 С C = [?]° a = [ ] C = [ ] Enter-example-1
User Jan Czarny
by
2.5k points

1 Answer

20 votes
20 votes

Answer:

a= 10.8 c=4.3

Explanation:

Use the law of sines.

a/sin 120=8/sin 40

Which simplifies to: 8*sin (120)/sin (40)

When you put the equation into a calculator, it will answer with 10.77

Therefore, it will be 10.8 if round to the nearest tenth

Using the same concept of the answer to a, the equation will be:

10.8*sin 20/sin 120=4.26

Round to the nearest tenth, and c equals to 4.3

User Andrew Davis
by
3.1k points