25.6k views
3 votes
Find all the missing elements

Find all the missing elements-example-1
User Patthoyts
by
8.3k points

1 Answer

4 votes

Answer:


b = 5.5


c = 11.2

Explanation:

Given:

A = 96°

B = 25°

C = 59°

a = 13

Required:

b and c

SOLUTION:

Use Sine Rule to find the measure of a and b, respectively.

✍️Thus, to find b, use,


(a)/(sin(A)) = (b)/(sin(B))

Plug in the values


(13)/(sin(96)) = (b)/(sin(25))

Multiply both sides by sin(25)


(13)/(sin(96)) * sin(25) = (b)/(sin(25)) * sin(25)


(13 * sin(25))/(sin(96)) = b


b = 5.5 (nearest tenth)

✍️To find c, use,


(a)/(sin(A)) = (c)/(sin(C))

Plug in the values


(13)/(sin(96)) = (c)/(sin(59))

Multiply both sides by sin(59)


(13)/(sin(96)) * sin(59) = (c)/(sin(25)) * sin(59)


(13 * sin(59))/(sin(96)) = c


c = 11.2 (nearest tenth)

User Ymmx
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories