Question

Given: b = 600, B = 11°, C = 75° in triangle ABC; find C. (Round the answer to the nearest whole number.)

A. 1,185

B. 3,037

C. 3,137

Answer 1

The answer to your question is the letter B. 3,037

Explanation:

Data

b = 600

B = 11°

C = 75°

c = ?

Process

1.- To solve this problem, use the law of sines

b/sin B = c/sin C

2.- Solve for c

c = b sin C / sin B

3.- Substitution

c = 600 sin 75 / sin 11

4.- Simplification

c = 600 (0.966) / 0.191

c = 579.55 / 0.191

5.- Result

c = 3037