The height of the teepee is 9.1651 feet.
Step-by-step explanation:
Step 1:
A right-angled triangle can be formed using the given information.
The length of the slanted sides represents the hypotenuse of the triangle. One of the other sides of this right-angled triangle measures 4 feet.
According to the Pythagorean theorem, the square of the hypotenuse is the sum of the squares of the other two sides.
Assume the other side measures a length of x feet.
Step 2:
According to the Pythagorean theorem,
[tex]10^{2} = 4^{2} +x^{2}, 100 = 16 + x^{2} ,[/tex]
[tex]x^{2} = 100- 16 = 84.[/tex]
[tex]x = \sqrt{84} = 9.1651.[/tex]
The height of the teepee is 9.1651 feet.
