Answer:
The answer to your question is Ф = 62.7°
Explanation:
Data
AB = 9
AC = 8
∠B = ?
This is a right triangle to solve it use trigonometric functions. The trigonometric function that relates the Opposite side and the hypotenuse is sine.
  sin Ф = Opposite side / hypotenuse
Opposite side = AC = 8
Hypotenuse = 9
-Substitution
 sinФ = 8/9
 sin⁻¹ Ф = Ф = 62.7°