Trigonometry in a Shopping Centre: Escalator Geometry

The diagram shows two escalators, \(AC\) and \(AD\), in a shopping centre.
The escalator \(AC\) of length \(16\) m leads to the 1\(^{st}\) Floor while the escalator \(AD\) of length \(22\) m leads to the 2\(^{nd}\) Floor. Given that the straight line \(BCD\) is perpendicular to the horizontal basement \(ABE\) and \(\angle BAC=30{}^\circ \), find

1. the height between the basement and the 1\(^{st}\) Floor,
2. the height between the 1\(^{st}\) Floor and the 2\(^{nd}\) Floor,
3. \(\angle DAC\).