100 POINTS PLEASE HELP

h = 15

Step-by-step explanation:

notice that inside that cylinder there is a right triangle.

The problem gives you the side of 17 for the hypothenuse of the triangle.

Also, it gives you the diameter of 16 ft, but you need the the radius or d/2; radius is 8ft.

Use pythagorean theorem or a^2 + b^2 = c^

a = radius r = 8ft

c = side of hypothenuse = 17

need to find height or h

h^2 + r^2 = (17)^2

h^2 = 17^2 - r^2

h^2 = 17^2 - 8^2

h^2 = 289-64

h^2 = 225; take the square root

h = 15