Given data:
The given diagonal is d= 40 in.
The given width is b=24 in.
The expression for the diagonal is,
[tex]d=\sqrt[]{b^2+h^2}[/tex]Substitute the given values in the above expression.
[tex]\begin{gathered} (40\text{ in)}=\sqrt[]{(24in)^2+h^2} \\ (40in)^2=(24in)^2+h^2 \\ h^2=1024in^2 \\ h=\text{ 32 in} \end{gathered}[/tex]Thus, the height of the TV is 32 in.
