The length AC in the pyramid is 32.5 cm
The perpendicular height is 167 cm
How to find the perpendicular height
The length AC is the diagonal of the square and the length of the diagonal is solved using Pythagoras theorem
AC² = 23² + 23²
AC² = 1058
AC = √1058
AC = 32.53 cm
The length of perpendicular height is solved with trigonometry
tan 79 = opposite / hypotenuse
tan 79 = (perpendicular height) / (half of the diagonal)
tan 79 = (perpendicular height) / 32.5
perpendicular height = 32.5 tan 79
perpendicular height = 167.198