Final answer:
To find the length of the sloping edge of a tepee, we can use the Pythagorean Theorem. The height and base circumference are given, and by substituting these values into the equation, we can solve for the length of the sloping edge. The length of the sloping edge is approximately 7.802 meters.
Step-by-step explanation:
To find the length of the sloping edge of a tepee, we can use the Pythagorean Theorem.
The height of the tepee is one of the legs of a right triangle, and the sloping edge is the hypotenuse.
The base circumference represents the other leg of the triangle.
Let's call the length of the sloping edge 'c', the height 'h', and the base circumference 'b'.
Using the Pythagorean Theorem, we have the equation c^2 = h^2 + b^2.
Plugging in the given values of h = 2 meters and b = 7.54 meters, we can solve for c.
c^2 = 2^2 + 7.54^2
= 4 + 56.8516
= 60.8516.
Taking the square root of both sides of the equation, we have sqrt(c^2) = sqrt(60.8516), which simplifies to c ≈ 7.802 meters.
Therefore, the length of the sloping edge of the tepee is approximately 7.802 meters.