Question

Use the Law of Sines to find the missing angle of the triangle. Find m∠C to the nearest tenth.

Answer 1

Answers

C = 58.84

B = 97.16°

Explanation

The sine rule states:

SinA/a = sinB/b

∴ sin24 / 77 = sinC / 162

 sinC = (162 × sin24)/77

         = 65.89/77

         = 0.85573

C = 58.84°

Angles in a triangle add up to 180°

∴ B + 24 + 58.84 = 180

  B = 180 - 24 - 58.84

      = 180 - 82.84

      = 97.16°

      =