From point A that is 8.2 meters above level groundthe angle of elevation of the top of the building is 31degrees20 minutes and the angle of depression of the base of the building is 12 degrees 50?

To find the height of the building, we can use trigonometry. The angle of elevation (31°20') allows us to calculate the height above point A to the top of the building, while the angle of depression (12°50') helps us find the height from point A to the base of the building. By applying the tangent function for both angles and considering the height of point A (8.2 meters), we can derive the heights from these angles and find the total height of the building.