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Hi, PLEASE HELP! In △ABC, m∠A=32°, m∠B=25°, and a=18. Find c to the nearest tenth.

A. 28.5
B. 26.1
C. 25.2
D. 27.6

Hi, PLEASE HELP! In △ABC, m∠A=32°, m∠B=25°, and a=18. Find c to the nearest tenth-example-1

2 Answers

3 votes
To solve this question, you would need to use either sin or cos law to do this.

Sin 32/18 = Sin 137/c

c = 18sin 137/sin 32.

This should be the value of c.

User Dean Le
by
5.1k points
4 votes

Answer:

the correct answer is option A

Explanation:

given,

∠A=32° , ∠B=25° ∠C= 180°-(32°+25°) = 123°

a=18,

using sine law


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

using equation,


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

sin 123° = 0.0294 c

c = 28.5

Hence, the correct answer is option A

User Mareka
by
5.8k points