Step-by-step explanation:
By Sine rule,
AB/sinc = AC/sinb = BC/sina
Firstly, a = 180° - 22.0° - 58.5° = 99.5° (sum of angles in a triangle = 180°)
We have AB/sin22.0° = AC/sin58.5° = 63.8/sin99.5°
Therefore AB = 63.8sin22.0°/sin99.5° = 24.2,
AC = 63.8sin58.5°/sin99.5° = 55.2.
