use the image to answer the question. For the square pyramid, the lateral edge length, e , is 25 in., and the slant height, s , is 24 in. Find the height of the pyramid, h . Round the answer to the nearest whole number. Hint: Before finding the length of h , you will first need to find the length of r . (1 point) The height of the square pyramid is in. Skip to navigation
Without the image, it is not possible to determine the length of the height of the square pyramid. Please provide the image or describe the dimensions of the pyramid accurately.
Use the image to answer the question. Given l=30 in. , w=20 in. , h=18 in. , and x=36.1 in. , find the length of d . Round the answer to the nearest tenth. (1 point) in.
I'm sorry, but I couldn't find any image or diagram attached to your question. Could you please provide more information or describe the pyramid in more detail?
Given l=30 in. , w=20 in. , h=18 in. , and x=36.1 in. , find the length of d . Round the answer to the nearest tenth. (1 point) in.
To find the length of "d", we can use the Pythagorean theorem.
We have a right triangle with the base (l) and height (h) of the pyramid, and the slant height (x) serves as the hypotenuse.
Using the Pythagorean theorem, we have:
x^2 = l^2 + h^2
(36.1 in)^2 = (30 in)^2 + (18 in)^2
Simplifying the equation, we get:
1303.21 in^2 = 900 in^2 + 324 in^2
1303.21 in^2 = 1224 in^2
Now, we can find the square root of both sides of the equation to find the value of "x":
x = sqrt(1224 in^2)
x ≈ 34.9 in
Therefore, the length of "d" is approximately 34.9 inches.
Given l=30 in. , w=20 in. , h=18 in. , and x=36.1 in. , find the length of d . Round the answer to the nearest tenth. (1 point) in.
Pls give me the correct answer
To find the length of "d", we can use the formula for the slant height of a square pyramid:
s = sqrt(l^2 + w^2 + h^2)
Plugging in the given values:
s = sqrt((30 in)^2 + (20 in)^2 + (18 in)^2)
s = sqrt(900 in^2 + 400 in^2 + 324 in^2)
s = sqrt(1624 in^2)
Now we can find the length of "d" by subtracting the slant height of the pyramid from the given value of "x":
d = x - s
d = 36.1 in - sqrt(1624 in^2)
d ≈ 36.1 in - 40.3 in
d ≈ -4.2 in
The length of "d" is approximately -4.2 inches.
wrong pls try again
To find the height of the square pyramid, we first need to find the length of the base edge, also known as "r".
Using the given information, we can apply the Pythagorean theorem to find the length of r.
Since the lateral edge length (e) is 25 in. and the slant height (s) is 24 in., we can use the formula:
r^2 = s^2 - (e/2)^2
Substituting the given values into the formula, we get:
r^2 = 24^2 - (25/2)^2
r^2 = 576 - (625/4)
r^2 = 576 - 390.625
r^2 = 185.375
To find the value of r, we take the square root of both sides:
r ≈ √185.375
r ≈ 13.61 (rounded to two decimal places)
Now that we have the value of r, we can proceed to find the height (h) of the pyramid.
Since the height (h) is perpendicular to the base, it forms a right triangle with the slant height (s) and the height of one of the triangular faces. To find h, we can use the Pythagorean theorem again.
h^2 = s^2 - r^2
Substituting the given values into the formula, we get:
h^2 = 24^2 - 13.61^2
h^2 = 576 - 184.8321
h^2 = 391.1679
To find the value of h, we take the square root of both sides:
h ≈ √391.1679
h ≈ 19.78 (rounded to two decimal places)
Therefore, the height of the square pyramid is approximately 20 inches (rounded to the nearest whole number).