The formula to calculate the Height of a Trapezoid given the Short Leg and Smaller Obtuse Angle is:
\[ h = \text{Short Leg} \cdot \sin(\text{Smaller Obtuse Angle}) \]
The Height of a Trapezoid is the perpendicular distance between the pair of parallel sides. The Short Leg is the shorter side among the pair of non-parallel sides, and the Smaller Obtuse Angle is the smaller angle on the short base or the angle made by the short base and short leg.
Let's assume the following values:
Using the formula:
\[ h = 9 \cdot \sin(1.9198621771934) \approx 8.4572 \]
The Height is approximately 8.4572 Meters.
| Short Leg (Meters) | Smaller Obtuse Angle (Radians) | Height (Meters) |
|---|---|---|
| 8 | 1.9198621771934 | 7.517540966288260 |
| 8.5 | 1.9198621771934 | 7.987387276681276 |
| 9 | 1.9198621771934 | 8.457233587074292 |
| 9.5 | 1.9198621771934 | 8.927079897467308 |
| 10 | 1.9198621771934 | 9.396926207860325 |