Question

Help for brainliest
Find h.
9 ft
h = [?] ft

Answer 1

Answer:

$\sqrt{77}$ ft

Step-by-step explanation:

Hi there!

Notice how we can create a right triangle in the cone, where the base is 2 ft (4/2=2), the height is h and the hypotenuse is 9 ft.

Using these values, we can solve for h with the Pythagorean theorem: $a^2+b^2=c^2$ where a and b are the two legs of a right triangle and c is the hypotenuse.

Plug in 2 and h as a and b and 9 as c:

$2^2+h^2=9^2\\4+h^2=81\\h^2=81-4\\h^2=77\\h=\sqrt{77}$

I hope this helps!