The formula to calculate the Height of a Trapezoid is:
\[ h = L_{\text{Long}} \cdot \sin(\angle_{\text{Larger Obtuse}}) \]
The height of a trapezoid is the perpendicular distance between the pair of parallel sides. The long leg is the longer side among the pair of non-parallel and opposite sides. The larger obtuse angle is the larger angle on the short base or the angle made by the short base and long leg of the trapezoid.
Let's assume the following values:
Using the formula:
\[ h = 11 \cdot \sin(2.2689280275922) \approx 8.4265 \]
The Height is approximately 8.4265 Meters.
| Long Leg (Meters) | Larger Obtuse Angle (Radians) | Height (Meters) |
|---|---|---|
| 10 | 2.2689280275922 | 7.660444431192534 |
| 10.5 | 2.2689280275922 | 8.043466652752162 |
| 11 | 2.2689280275922 | 8.426488874311788 |
| 11.5 | 2.2689280275922 | 8.809511095871414 |
| 12 | 2.2689280275922 | 9.192533317431042 |