The circus tent is in the shape of a square pyramid each edge of the square base is 20 m and it’s slant height is 13.5 m find the height of the tent round the answer to the nearest tenth
To find the height of the tent, we can use the Pythagorean Theorem. Let's label the height as "h".
The slant height is the hypotenuse of a right triangle formed by one edge of the square base and the height of the tent. The length of one edge of the square base is given as 20 m.
Using the Pythagorean Theorem, we have:
h^2 + 20^2 = 13.5^2
h^2 + 400 = 182.25
h^2 = 182.25 - 400
h^2 = 217.75
Taking the square root of both sides, we find:
h ≈ √217.75
h ≈ 14.7
Therefore, the height of the tent is approximately 14.7 m.
To find the height of the tent, we can use the Pythagorean theorem.
The slant height of the pyramid (l) and the height of the pyramid (h) form a right triangle, with the edge of the square base (a) as the hypotenuse.
Using the Pythagorean theorem, we have:
a^2 = l^2 + h^2
Substituting the given values, we have:
(20^2) = (13.5^2) + h^2
Solving the equation:
400 = 182.25 + h^2
h^2 = 400 - 182.25
h^2 = 217.75
Taking the square root of both sides:
h = √(217.75)
h ≈ 14.8
Therefore, the height of the tent is approximately 14.8 meters rounded to the nearest tenth.
To find the height of the circus tent, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the slant height of the pyramid is the hypotenuse, and the height of the pyramid is one of the other two sides.
Let's label the sides of the right triangle formed by the slant height and the height of the pyramid.
The height of the pyramid = h
The slant height of the pyramid = 13.5 m
The base of the right triangle formed by the height and slant height = 20 m (one side of the square base of the pyramid)
We know that the slant height (13.5 m) is the hypotenuse, and the base (20 m) is one of the other two sides.
Using the Pythagorean theorem, we can write the equation as:
h^2 + 20^2 = 13.5^2
Simplifying the equation:
h^2 + 400 = 182.25
Subtracting 400 from both sides of the equation:
h^2 = 182.25 - 400
h^2 = -217.75
Since the height of the tent cannot be negative, we can conclude that there is no real-valued solution for the height of the tent given the provided measurements.