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Umnica [9.8K]
3 years ago
7

I need help please!!!

Mathematics
1 answer:
hoa [83]3 years ago
6 0

Answer:

  B = 48.7°, C = 61.3°, b = 12.0

Step-by-step explanation:

A triangle solver makes short work of this. (See below.)

_____

If you're interested in solving this using only calculator trig functions (and not the solver function), you can use the Law of Sines:

  sin(C)/c = sin(A)/a

  sin(C) = (c/a)sin(A)

  C = arcsin(c/a·sin(A)) = arcsin(14/15·sin(70°))

  C ≈ 61.3°

From the sum of angles, the third angle is ...

  B = 180° -A -C = 180° -70° -61.3°

  B = 48.7°

Again from the Law of Sines:

  b/sin(B) = a/sin(A)

  b = a·sin(B)/sin(A) = 15·sin(48.7°)/sin(70°)

  b ≈ 12.0

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