Answer:
The height is 10.2 inches
Step-by-step explanation:
we know that
The volume of the triangular pyramid is given by the formula
[tex]V=\frac{1}{3}Bh[/tex]
where
B is the area of the base
h is the height of the pyramid
we have
[tex]V=85\ in^3[/tex]
[tex]B=25\ in^2[/tex]
substitute
[tex]85=\frac{1}{3}(25)h[/tex]
solve for h
[tex]h=85(3)/25=10.2\ in[/tex]
