lukemm1026 lukemm1026
  • 23-01-2022
  • Mathematics
contestada


In AABC, MZA = 16°, mZB = 49°, and
a = 4. Find c to the nearest tenth.

In AABC MZA 16 mZB 49 and a 4 Find c to the nearest tenth class=

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sqdancefan
sqdancefan sqdancefan
  • 27-01-2022

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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