Respuesta :
Answer: [tex]24\ ft[/tex]
Step-by-step explanation:
Given
The slant height of the square pyramid is [tex]l=25\ ft[/tex]
The length of the side of the base is [tex]a=14\ ft[/tex]
for the square pyramid, height is given by
[tex]\Rightarrow h=\sqrt{l^2-r^2}\quad \quad [\text{where r=}\frac{a}{2}]\\\Rightarrow h=\sqrt{25^2-7^2}\\\Rightarrow h=\sqrt{625-49}\\\Rightarrow h=\sqrt{576}\\\Rightarrow h=24\ ft[/tex]
Thus, the height of the prism is [tex]24\ ft[/tex]
