Question

In triangle ABC angle a equals 72° side C equals 61 and angle B equals 16° find side a to the nearest 10th

Answer 1

Answer:

  58.0 units

Step-by-step explanation:

In order to use the law of sines, we need to know angle C. It will be the angle that brings the total of all angles to 180°.

  C = 180° -A -B = 180° -72° -16°

  C = 92°

The law of sines tells us ...

  a/sin(A) = c/sin(C)

  a = c·sin(A)/sin(C) = 61·sin(72°)/sin(92°)

  a ≈ 58.0 . . . . units