Answer:
The height of the pyramid is 16 feet.
Step-by-step explanation:
Look at the picture.
Use the Pythagorean theorem:
[tex]leg^2+leg^2=hypotenuse^2[/tex]
We have
[tex]leg=12ft,\ leg=H,\ hypotenuse=20ft[/tex]
Substitute:
[tex]12^2+H^2=20^2[/tex]
[tex]144+H^2=400[/tex] subtract 144 from both sides
[tex]H^2=256\to H=\sqrt{156}\\\\H=16\ ft[/tex]
