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.
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.
To find the slant height of the cone, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (in this case, the slant height) is equal to the sum of the squares of the lengths of the other two sides.
In this case, we have a right triangle with one side measuring 35ft (the vertical height) and another side measuring 12ft (the horizontal distance). We can let the variable x represent the length of the slant height.
Using the Pythagorean theorem, we have:
x^2 = 35^2 + 12^2
Simplifying this equation, we get:
x^2 = 1225 + 144
x^2 = 1369
Taking the square root of both sides, we find:
x = √1369
x ≈ 37
Thus, the slant height of the cone is approximately 37 feet.
To find the length of the slant height of the cone, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (slant height) is equal to the sum of the squares of the other two sides.
In this case, one side is the vertical line going straight up, which is 35ft, and the other side is the horizontal line going to the right, which is 12ft.
Using the Pythagorean theorem, we can calculate the length of the slant height:
slant height^2 = 35^2 + 12^2
slant height^2 = 1225 + 144
slant height^2 = 1369
To find the slant height, we need to take the square root of 1369:
slant height = √1369
slant height ≈ 37.04ft
Therefore, the length of the slant height of the cone is approximately 37.04 feet.