How many feet long is the slant height of the cone? Click Here for Help Video.

the image shows a cone like triangle that has a dot in the middle of the circle of the cone going straight up and a line going to the right witch creates a 90 degree angle the line going straight up from the dot is 35ft and the line going to the right is 12ft and there is an unknown variable that is measuring the side of the cone

(1 point)
The slant height is
feet.

1 answer

To find the slant height of the cone, we can use the Pythagorean theorem.

The line going straight up from the dot is the height of the cone, which is given as 35 ft.
The line going to the right is a radius of the cone, which is 12 ft.

Let's call the slant height "s". According to the Pythagorean theorem, we have:

s^2 = 35^2 + 12^2
s^2 = 1225 + 144
s^2 = 1369

Taking the square root of both sides, we find:

s = √1369

The approximate value of the square root of 1369 is 37.

Therefore, the slant height of the cone is approximately 37 feet.