College

Question 4 of 10

Use the law of sines to find the length of side b. Round your answer to the

nearest tenth.

A. 38.1

B. 21.3

C. 47.7

D. 15.4

38°

B

31.6

25

25

Question 4 of 10 Use the law of sines to find the length of side b Round your answer to the nearest tenth A 38

Answer :

Answer:

38.1

Step-by-step explanation:

law of sines: sinA/a = sinB/b = sinC/c

given is a = 25 and sinA = sin(38) ; sinA/a = sin38/25

all angles in a triangle sum to 180 degrees; 180 - 38- 31.6 = 110.4 = B; sinB = sin110.4

Now, sinB/b = sinA/a, so sin110.4/b = sin38/25. Solving for b gives b = 31.8

Other Questions