We have been given the measure of two parallel sides as 11 m and 5 m. And we are given one of the slanted sides as 4 m.
From the given information, we can find the base of one of the side triangles as 3 m.
Therefore, upon using Pythagorean theorem, we get the set up for height as
[tex]h^{2}=4^{2}-3^{2}=7[/tex]
[tex]h=\sqrt{7}[/tex]
Therefore, height of the required figure is [tex]\sqrt{7}[/tex] m