Answer:
The height of the pyramid is 13.3 inches
Step-by-step explanation:
Let
h ----> the height of the pyramid
b ---> the base of the square pyramid
we know that
Applying the Pythagorean Theorem
[tex]15^2=h^2+(\frac{b}{2})^2[/tex]
see the attached figure to better understand the problem
we have
[tex]b=14\ in[/tex]
substitute
[tex]15^2=h^2+(\frac{14}{2})^2[/tex]
Solve for h
[tex]225=h^2+49\\h^2=225-49\\h^2=176\\h=\sqrt{176}\ in\\h=13.3\ in[/tex]
