Answer:
Option C - 16 units
Step-by-step explanation:
Since the base is a square and it has an area of 576 sq.units, thus, if the side length of the base is x, then;
x² = 576
x = √576
x = 24
To get the height, we will divide this side length by 2 and use Pythagoreas Theorem.
Since, we are told that the pyramid has a slant height of 20 units,
So using pythagoras theorem, we can find the height of the pyramid as;
h² = 20² - (24/2)²
h² = 400 - 144
h² = 256
h = √256
h = 16 units
