Question

A large teepee has slanted sides that measure 10 feet each. The bottom of the teepee measures 4 feet across. What is the height of the teepee, in feet

Answer 1

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,

$10^{2} = 4^{2} +x^{2}, 100 = 16 + x^{2} ,$

$x^{2} = 100- 16 = 84.$

$x = \sqrt{84} = 9.1651.$

The height of the teepee is 9.1651 feet.