help brainiest if right

Answer:
h = 15 ft
Step-by-step explanation:
the line from the vertex to the base is a perpendicular bisector.
then the radius r = 16 ÷ 2 = 8
using Pythagoras' identity in the right triangle formed
with hypotenuse = 17 and legs h and 8 , then
h² + 8² = 17²
h² + 64 = 289 ( subtract 64 from both sides )
h² = 225 ( take square root of both sides )
h = [tex]\sqrt{225}[/tex] = 15