The formula to calculate the Height of a Right Square Pyramid is:
\[ h = \sqrt{h_{slant}^2 - \frac{le(Base)^2}{4}} \]
The Height of a Right Square Pyramid is the length of the perpendicular from the apex to the base of the pyramid. The Slant Height of a Right Square Pyramid is the length measured along the lateral face from the base to the apex along the center of the face. The Edge Length of the Base is the length of the straight line connecting any two adjacent vertices of the base.
Let's assume the following values:
Using the formula:
\[ h = \sqrt{16^2 - \frac{10^2}{4}} = 15.1986841535707 \]
The Height of the Right Square Pyramid is 15.1986841535707 meters.
| Slant Height (meters) | Edge Length of Base (meters) | Height (meters) |
|---|---|---|
| 15 | 10 | 14.142135623730951 |
| 15.5 | 10 | 14.671400751121210 |
| 16 | 10 | 15.198684153570664 |
| 16.5 | 10 | 15.724185193516387 |
| 17 | 10 | 16.248076809271922 |