Answer:
Joe will be slightly shorter than the tepee.
Step-by-step explanation:
We are determining if Joe is smaller or taller than the tepee.
We are given the radius slant height of the cone.
The slant height of a cone and the height of a cone are very different.
We can use the Pythagorean Theorem to find the height of the cone.
The slant height, radius and height make up a right triangle. (See Picture)
So, if we use the slant height as the hypotenuse and the radius as a leg than we can find the height of the cone.
[tex]a^2+b^2=c^2\\c-7\\b-4\\\\\text {Solve:}\\a^2 + 4^2 = 7^2\\4^2 = 16\\7^2 = 49\\\\\rightarrow a^2 + 16 = 49\\a^2 +16 -16 =49-16\\\rightarrow a^2=33\\\sqrt{a^2}=\sqrt{33}\\ \boxed {a=5.74456264654}[/tex]
5.74456264654 ≈ 5.7 feet.
The height of the cone is about 5.7 feet.
Since Joe is six feet tall, Joe will be slightly shorter than the tepee.
But, if you need to round to the whole number, then he would be the same size.
Brainilest Appreciated.
