In AABC, MZA = 16°, mZB = 49°, and
a = 4. Find c to the nearest tenth.
1 answer:
Answer:
(c) 13.2
Step-by-step explanation:
The sum of angles in a triangle is 180°, so angle C is ...
C = 180° -A -B
C = 180° -16° -49° = 115°
The measure of side c can be found from the Law of Sines:
c/sin(C) = a/sin(A)
c = a·sin(C)/sin(A) = 4·sin(115°)/sin(16°)
c ≈ 13.2
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