Find c. Round to the nearest tenth:
a
10 cm
1509
12°
с
c = [? ]cm
Law of Sines: sin A
sin B.
b
sin C
С
a
Enter

9514 1404 393

  14.9 cm

Step-by-step explanation:

To find c using the Law of Sines, you must know angle C. That is found from ...

  C = 180° -A -B = 180° -150° -12° = 18°

Then the law of sines tells you ...

  c/sin(C) = b/sin(B)

  c = b·sin(C)/sin(B) = (10 cm)·sin(18°)/sin(12°)

  c ≈ 14.9 cm