Answer:
h = 16
Step-by-step explanation:
By applying the Pythagorean Theorem, the slant height is given by the formula:
[tex]\sqrt{r^2+h^2}[/tex]
34 = [tex]\sqrt{30^2 + h^2}[/tex]
[tex]34^2 = 30^2 + h^2[/tex]
[tex]1156 = 900 + h^2[/tex]
[tex]256 = h^2[/tex]
[tex]h = \sqrt{256}[/tex]
[tex]h = 16[/tex]
