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In △ABC, m∠A=15°, a=9, and b=12. Find c to the nearest tenth.

User AmeliaMN
by
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1 Answer

4 votes

Answer:

=20.0

Explanation:

We can first find the value of the angle at B using the sine formula.

a/sine A=b/Sin B

9/sin 15=12/sin B

Sin B=(12 sin 15)/9

Sin B=0.345

B=20.18°

Therefore angle C =180-(15+20.18)

=144.82°

a/Sin A=c/Sin C

9/Sin 15=c/Sin 144.82

c=(9 sin 144.82)/sin15

=20.0

User Victor Chelaru
by
4.8k points