In right triangle ABC, A = 30° and c = 8. For each value of a,
   find sin C and then determine whether one, two, or no triangles exist.
  1. a = 4.

  2. a = 8.

  3. a = 3.

   The following problems refer to triangle ABC (not necessarily
   right). Find all the missing parts.

  1. A = 70°, C = 60°, and a = 15.3 meters.

  2. B = 55°, a = 8 inches and c = 6 inches.

  3. a = 15.9 cm, b = 20.3 cm, and c = 11.5 cm.

  4. A = 18.4 °, C = 73. 6°, and b = 148 meters.

  5. If A = 75°, C = 60°, and b = 13.6 m, find the area of triangle ABC.

  6. If a = 17 cm, b = 12 cm, and c = 9 cm, find the area of triangle ABC.

  7. A man standing near a building notices that the angle of elevation of the top of the building is 50°. He then walks 200 feet farther away from the building and notices that the angle of elevation of the top of the building is now 38°. Find the height of the building to the nearest foot.

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