The formula for measuring a triangle's volume is as follows:
[tex]V=\frac{1}{2}bhl[/tex]
Given that, [tex]l=17.7; b=6; V=307.98[/tex] you can simply solve for [tex]h[/tex].
So, [tex]h=\frac{2V}{bl}[/tex]
Subsitute:
[tex]h=\frac{2(307.98)}{(6)(17.7)}\\h=\frac{615.96}{106.2}\\h=\frac{29}{5} =5.8 cm[/tex]
5.8cm is the solution.